GCF and LCM Calculator Logo

What is the Least Common Multiple of 57348 and 57368?

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 57348 and 57368 is 822485016.

LCM(57348,57368) = 822485016

LCM Calculator and
and

Least Common Multiple of 57348 and 57368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57348 and 57368, than apply into the LCM equation.

GCF(57348,57368) = 4
LCM(57348,57368) = ( 57348 × 57368) / 4
LCM(57348,57368) = 3289940064 / 4
LCM(57348,57368) = 822485016

Least Common Multiple (LCM) of 57348 and 57368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57348 and 57368. First we will calculate the prime factors of 57348 and 57368.

Prime Factorization of 57348

Prime factors of 57348 are 2, 3, 59. Prime factorization of 57348 in exponential form is:

57348 = 22 × 35 × 591

Prime Factorization of 57368

Prime factors of 57368 are 2, 71, 101. Prime factorization of 57368 in exponential form is:

57368 = 23 × 711 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 57348 and 57368.

LCM(57348,57368) = 23 × 35 × 591 × 711 × 1011
LCM(57348,57368) = 822485016