GCF and LCM Calculator Logo

What is the Least Common Multiple of 56698 and 56715?

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 56698 and 56715 is 3215627070.

LCM(56698,56715) = 3215627070

LCM Calculator and
and

Least Common Multiple of 56698 and 56715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56698 and 56715, than apply into the LCM equation.

GCF(56698,56715) = 1
LCM(56698,56715) = ( 56698 × 56715) / 1
LCM(56698,56715) = 3215627070 / 1
LCM(56698,56715) = 3215627070

Least Common Multiple (LCM) of 56698 and 56715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56698 and 56715. First we will calculate the prime factors of 56698 and 56715.

Prime Factorization of 56698

Prime factors of 56698 are 2, 28349. Prime factorization of 56698 in exponential form is:

56698 = 21 × 283491

Prime Factorization of 56715

Prime factors of 56715 are 3, 5, 19, 199. Prime factorization of 56715 in exponential form is:

56715 = 31 × 51 × 191 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 56698 and 56715.

LCM(56698,56715) = 21 × 283491 × 31 × 51 × 191 × 1991
LCM(56698,56715) = 3215627070