What is the Least Common Multiple of 53616 and 53628?

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 53616 and 53628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53616 and 53628, than apply into the LCM equation.

GCF(53616,53628) = 12
LCM(53616,53628) = ( 53616 × 53628) / 12
LCM(53616,53628) = 2875318848 / 12
LCM(53616,53628) = 239609904

Least Common Multiple (LCM) of 53616 and 53628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53616 and 53628. First we will calculate the prime factors of 53616 and 53628.

Prime Factorization of 53616

Prime Factorization of 53628

Now multiplying the highest exponent prime factors to calculate the LCM of 53616 and 53628.

LCM(53616,53628) = 2⁴ × 3¹ × 1117¹ × 41¹ × 109¹
LCM(53616,53628) = 239609904