Free LCM Calculator identify the least common multiple (LCM) between 8 and 12 the smallest integer the is 24 the is divisible by both numbers.

You are watching: Which is the least common multiple of 12 and 8

Least typical Multiple (LCM) the 8 and 12 is 24.

LCM(8,12) = 24

Least usual multiple deserve to be uncovered by multiplying the highest exponent prime components of 8 and also 12. First we will certainly calculate the prime factors of 8 and also 12.

 2 8 2 4 2 2 1

Prime factors of 8 room 2. Prime factorization of 8 in exponential kind is:

8 = 23Prime administer of 12

 2 12 2 6 3 3 1

Prime factors of 12 are 2,3. Prime factorization of 12 in exponential kind is:

12 = 22×31Now multiply the highest exponent prime factors to calculate the LCM of 8 and also 12.

LCM(8,12) = 23×31LCM(8,12) = 24

Factors the 8

List of hopeful integer components of 8 the divides 8 without a remainder.

1, 2, 4, 8

Factors the 12

List of confident integer components of 12 that divides 12 there is no a remainder.

1, 2, 3, 4, 6, 12

### Least common Multiple the 8 and 12 with GCF Formula

The formula the LCM is LCM(a,b) = ( a × b) / GCF(a,b).We should calculate greatest typical factor 8 and also 12, than apply into the LCM equation.

GCF(8,12) = 4LCM(8,12) = ( 8 × 12) / 4LCM(8,12) = 96 / 4LCM(8,12) = 24

### Properties of LCM 8 and also 12

(i) The LCM that 12 and 8 is associative

LCM of 8 and also 12 = LCM the 12 and also 8

Related Least typical Multiples of 8
Related Least usual Multiples of 12

### Frequently Asked concerns on LCM of 8 and also 12

1. What is the LCM the 8 and also 12?

Answer: LCM that 8 and also 12 is 24.

2. What room the determinants of 8?

Answer: components of 8 room 1, 2, 4, 8. There are 4 integers that are components of 8. The greatest element of 8 is 8.

3. What are the components of 12?

Answer: determinants of 12 are 1, 2, 3, 4, 6, 12. There space 6 integers that are factors of 12. The greatest element of 12 is 12.

See more: What Is The Ground State Electron Configuration Of Magnesium

4. Exactly how to find the LCM of 8 and also 12?

Least common Multiple the 8 and also 12 = 24

Step 1: discover the prime factorization the 8

8 = 2 x 2 x 2

Step 2: discover the prime factorization that 12

12 = 2 x 2 x 3

Step 3: multiply each aspect the greater variety of times it occurs in procedures i) or ii) above to find the lcm:

LCM = 24 = 2 x 2 x 2 x 3

Step 4: Therefore, the least usual multiple that 8 and 12 is 24.

favorite Calculators
Most well-known