GCF and LCM Calculator Logo

What is the Least Common Multiple of 7002 and 7019?

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 7002 and 7019 is 49147038.

LCM(7002,7019) = 49147038

LCM Calculator and
and

Least Common Multiple of 7002 and 7019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7002 and 7019, than apply into the LCM equation.

GCF(7002,7019) = 1
LCM(7002,7019) = ( 7002 × 7019) / 1
LCM(7002,7019) = 49147038 / 1
LCM(7002,7019) = 49147038

Least Common Multiple (LCM) of 7002 and 7019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7002 and 7019. First we will calculate the prime factors of 7002 and 7019.

Prime Factorization of 7002

Prime factors of 7002 are 2, 3, 389. Prime factorization of 7002 in exponential form is:

7002 = 21 × 32 × 3891

Prime Factorization of 7019

Prime factors of 7019 are 7019. Prime factorization of 7019 in exponential form is:

7019 = 70191

Now multiplying the highest exponent prime factors to calculate the LCM of 7002 and 7019.

LCM(7002,7019) = 21 × 32 × 3891 × 70191
LCM(7002,7019) = 49147038