GCF and LCM Calculator Logo

What is the Least Common Multiple of 7008 and 7015?

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 7015 is 49161120.

LCM(7008,7015) = 49161120

LCM Calculator and
and

Least Common Multiple of 7008 and 7015 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 7015, than apply into the LCM equation.

GCF(7008,7015) = 1
LCM(7008,7015) = ( 7008 × 7015) / 1
LCM(7008,7015) = 49161120 / 1
LCM(7008,7015) = 49161120

Least Common Multiple (LCM) of 7008 and 7015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7008 and 7015. First we will calculate the prime factors of 7008 and 7015.

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 7015

Prime factors of 7015 are 5, 23, 61. Prime factorization of 7015 in exponential form is:

7015 = 51 × 231 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 7008 and 7015.

LCM(7008,7015) = 25 × 31 × 731 × 51 × 231 × 611
LCM(7008,7015) = 49161120