What is the Least Common Multiple of 52344 and 52358?

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 52344 and 52358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52344 and 52358, than apply into the LCM equation.

GCF(52344,52358) = 2
LCM(52344,52358) = ( 52344 × 52358) / 2
LCM(52344,52358) = 2740627152 / 2
LCM(52344,52358) = 1370313576

Least Common Multiple (LCM) of 52344 and 52358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52344 and 52358. First we will calculate the prime factors of 52344 and 52358.

Prime Factorization of 52344

Prime Factorization of 52358

Now multiplying the highest exponent prime factors to calculate the LCM of 52344 and 52358.

LCM(52344,52358) = 2³ × 3² × 727¹ × 47¹ × 557¹
LCM(52344,52358) = 1370313576