GCF and LCM Calculator Logo

What is the Least Common Multiple of 56698 and 56712?

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 56712 is 1607728488.

LCM(56698,56712) = 1607728488

LCM Calculator and
and

Least Common Multiple of 56698 and 56712 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 56712, than apply into the LCM equation.

GCF(56698,56712) = 2
LCM(56698,56712) = ( 56698 × 56712) / 2
LCM(56698,56712) = 3215456976 / 2
LCM(56698,56712) = 1607728488

Least Common Multiple (LCM) of 56698 and 56712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56698 and 56712. First we will calculate the prime factors of 56698 and 56712.

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 56712

Prime factors of 56712 are 2, 3, 17, 139. Prime factorization of 56712 in exponential form is:

56712 = 23 × 31 × 171 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 56698 and 56712.

LCM(56698,56712) = 23 × 283491 × 31 × 171 × 1391
LCM(56698,56712) = 1607728488