GCF and LCM Calculator Logo

What is the Least Common Multiple of 12970 and 12974?

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 12970 and 12974 is 84136390.

LCM(12970,12974) = 84136390

LCM Calculator and
and

Least Common Multiple of 12970 and 12974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12970 and 12974, than apply into the LCM equation.

GCF(12970,12974) = 2
LCM(12970,12974) = ( 12970 × 12974) / 2
LCM(12970,12974) = 168272780 / 2
LCM(12970,12974) = 84136390

Least Common Multiple (LCM) of 12970 and 12974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12970 and 12974. First we will calculate the prime factors of 12970 and 12974.

Prime Factorization of 12970

Prime factors of 12970 are 2, 5, 1297. Prime factorization of 12970 in exponential form is:

12970 = 21 × 51 × 12971

Prime Factorization of 12974

Prime factors of 12974 are 2, 13, 499. Prime factorization of 12974 in exponential form is:

12974 = 21 × 131 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 12970 and 12974.

LCM(12970,12974) = 21 × 51 × 12971 × 131 × 4991
LCM(12970,12974) = 84136390