What is the Least Common Multiple of 52356 and 52362?

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 52356 and 52362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52356 and 52362, than apply into the LCM equation.

GCF(52356,52362) = 6
LCM(52356,52362) = ( 52356 × 52362) / 6
LCM(52356,52362) = 2741464872 / 6
LCM(52356,52362) = 456910812

Least Common Multiple (LCM) of 52356 and 52362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52356 and 52362. First we will calculate the prime factors of 52356 and 52362.

Prime Factorization of 52356

Prime Factorization of 52362

Now multiplying the highest exponent prime factors to calculate the LCM of 52356 and 52362.

LCM(52356,52362) = 2² × 3² × 4363¹ × 2909¹
LCM(52356,52362) = 456910812