What is the Least Common Multiple of 53312 and 53316?

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 53312 and 53316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53312 and 53316, than apply into the LCM equation.

GCF(53312,53316) = 4
LCM(53312,53316) = ( 53312 × 53316) / 4
LCM(53312,53316) = 2842382592 / 4
LCM(53312,53316) = 710595648

Least Common Multiple (LCM) of 53312 and 53316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53312 and 53316. First we will calculate the prime factors of 53312 and 53316.

Prime Factorization of 53312

Prime Factorization of 53316

Now multiplying the highest exponent prime factors to calculate the LCM of 53312 and 53316.

LCM(53312,53316) = 2⁶ × 7² × 17¹ × 3² × 1481¹
LCM(53312,53316) = 710595648