What is the Least Common Multiple of 49359 and 49372?

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 49359 and 49372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49359 and 49372, than apply into the LCM equation.

GCF(49359,49372) = 1
LCM(49359,49372) = ( 49359 × 49372) / 1
LCM(49359,49372) = 2436952548 / 1
LCM(49359,49372) = 2436952548

Least Common Multiple (LCM) of 49359 and 49372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49359 and 49372. First we will calculate the prime factors of 49359 and 49372.

Prime Factorization of 49359

Prime Factorization of 49372

Now multiplying the highest exponent prime factors to calculate the LCM of 49359 and 49372.

LCM(49359,49372) = 3¹ × 16453¹ × 2² × 12343¹
LCM(49359,49372) = 2436952548