What is the Least Common Multiple of 56364 and 56378?

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 56364 and 56378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56364 and 56378, than apply into the LCM equation.

GCF(56364,56378) = 14
LCM(56364,56378) = ( 56364 × 56378) / 14
LCM(56364,56378) = 3177689592 / 14
LCM(56364,56378) = 226977828

Least Common Multiple (LCM) of 56364 and 56378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56364 and 56378. First we will calculate the prime factors of 56364 and 56378.

Prime Factorization of 56364

Prime Factorization of 56378

Now multiplying the highest exponent prime factors to calculate the LCM of 56364 and 56378.

LCM(56364,56378) = 2² × 3¹ × 7¹ × 11¹ × 61¹ × 4027¹
LCM(56364,56378) = 226977828