GCF and LCM Calculator Logo

What is the Least Common Multiple of 57128 and 57137?

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 57128 and 57137 is 3264122536.

LCM(57128,57137) = 3264122536

LCM Calculator and
and

Least Common Multiple of 57128 and 57137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57128 and 57137, than apply into the LCM equation.

GCF(57128,57137) = 1
LCM(57128,57137) = ( 57128 × 57137) / 1
LCM(57128,57137) = 3264122536 / 1
LCM(57128,57137) = 3264122536

Least Common Multiple (LCM) of 57128 and 57137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57128 and 57137. First we will calculate the prime factors of 57128 and 57137.

Prime Factorization of 57128

Prime factors of 57128 are 2, 37, 193. Prime factorization of 57128 in exponential form is:

57128 = 23 × 371 × 1931

Prime Factorization of 57137

Prime factors of 57137 are 17, 3361. Prime factorization of 57137 in exponential form is:

57137 = 171 × 33611

Now multiplying the highest exponent prime factors to calculate the LCM of 57128 and 57137.

LCM(57128,57137) = 23 × 371 × 1931 × 171 × 33611
LCM(57128,57137) = 3264122536