GCF and LCM Calculator Logo

What is the Least Common Multiple of 56374 and 56381?

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 56374 and 56381 is 3178422494.

LCM(56374,56381) = 3178422494

LCM Calculator and
and

Least Common Multiple of 56374 and 56381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56374 and 56381, than apply into the LCM equation.

GCF(56374,56381) = 1
LCM(56374,56381) = ( 56374 × 56381) / 1
LCM(56374,56381) = 3178422494 / 1
LCM(56374,56381) = 3178422494

Least Common Multiple (LCM) of 56374 and 56381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56374 and 56381. First we will calculate the prime factors of 56374 and 56381.

Prime Factorization of 56374

Prime factors of 56374 are 2, 71, 397. Prime factorization of 56374 in exponential form is:

56374 = 21 × 711 × 3971

Prime Factorization of 56381

Prime factors of 56381 are 13, 4337. Prime factorization of 56381 in exponential form is:

56381 = 131 × 43371

Now multiplying the highest exponent prime factors to calculate the LCM of 56374 and 56381.

LCM(56374,56381) = 21 × 711 × 3971 × 131 × 43371
LCM(56374,56381) = 3178422494