GCF and LCM Calculator Logo

What is the Least Common Multiple of 7008 and 7012?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 7008 and 7012 is 12285024.

LCM(7008,7012) = 12285024

LCM Calculator and
and

Least Common Multiple of 7008 and 7012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7008 and 7012, than apply into the LCM equation.

GCF(7008,7012) = 4
LCM(7008,7012) = ( 7008 × 7012) / 4
LCM(7008,7012) = 49140096 / 4
LCM(7008,7012) = 12285024

Least Common Multiple (LCM) of 7008 and 7012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7008 and 7012. First we will calculate the prime factors of 7008 and 7012.

Prime Factorization of 7008

Prime factors of 7008 are 2, 3, 73. Prime factorization of 7008 in exponential form is:

7008 = 25 × 31 × 731

Prime Factorization of 7012

Prime factors of 7012 are 2, 1753. Prime factorization of 7012 in exponential form is:

7012 = 22 × 17531

Now multiplying the highest exponent prime factors to calculate the LCM of 7008 and 7012.

LCM(7008,7012) = 25 × 31 × 731 × 17531
LCM(7008,7012) = 12285024