What is the Least Common Multiple of 56344 and 56352?

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 of 56344 and 56352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56344 and 56352, than apply into the LCM equation.

GCF(56344,56352) = 8
LCM(56344,56352) = ( 56344 × 56352) / 8
LCM(56344,56352) = 3175097088 / 8
LCM(56344,56352) = 396887136

Least Common Multiple (LCM) of 56344 and 56352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56344 and 56352. First we will calculate the prime factors of 56344 and 56352.

Prime Factorization of 56344

Prime Factorization of 56352

Now multiplying the highest exponent prime factors to calculate the LCM of 56344 and 56352.

LCM(56344,56352) = 2⁵ × 7043¹ × 3¹ × 587¹
LCM(56344,56352) = 396887136