What is the Least Common Multiple of 52358 and 52376?

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 52358 and 52376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52358 and 52376, than apply into the LCM equation.

GCF(52358,52376) = 2
LCM(52358,52376) = ( 52358 × 52376) / 2
LCM(52358,52376) = 2742302608 / 2
LCM(52358,52376) = 1371151304

Least Common Multiple (LCM) of 52358 and 52376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52358 and 52376. First we will calculate the prime factors of 52358 and 52376.

Prime Factorization of 52358

Prime Factorization of 52376

Now multiplying the highest exponent prime factors to calculate the LCM of 52358 and 52376.

LCM(52358,52376) = 2³ × 47¹ × 557¹ × 6547¹
LCM(52358,52376) = 1371151304