GCF and LCM Calculator Logo

What is the Least Common Multiple of 56368 and 56376?

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 56368 and 56376 is 397225296.

LCM(56368,56376) = 397225296

LCM Calculator and
and

Least Common Multiple of 56368 and 56376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56368 and 56376, than apply into the LCM equation.

GCF(56368,56376) = 8
LCM(56368,56376) = ( 56368 × 56376) / 8
LCM(56368,56376) = 3177802368 / 8
LCM(56368,56376) = 397225296

Least Common Multiple (LCM) of 56368 and 56376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56368 and 56376. First we will calculate the prime factors of 56368 and 56376.

Prime Factorization of 56368

Prime factors of 56368 are 2, 13, 271. Prime factorization of 56368 in exponential form is:

56368 = 24 × 131 × 2711

Prime Factorization of 56376

Prime factors of 56376 are 2, 3, 29. Prime factorization of 56376 in exponential form is:

56376 = 23 × 35 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 56368 and 56376.

LCM(56368,56376) = 24 × 131 × 2711 × 35 × 291
LCM(56368,56376) = 397225296