What is the Least Common Multiple of 53352 and 53356?

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 53352 and 53356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53352 and 53356, than apply into the LCM equation.

GCF(53352,53356) = 4
LCM(53352,53356) = ( 53352 × 53356) / 4
LCM(53352,53356) = 2846649312 / 4
LCM(53352,53356) = 711662328

Least Common Multiple (LCM) of 53352 and 53356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53352 and 53356. First we will calculate the prime factors of 53352 and 53356.

Prime Factorization of 53352

Prime Factorization of 53356

Now multiplying the highest exponent prime factors to calculate the LCM of 53352 and 53356.

LCM(53352,53356) = 2³ × 3³ × 13¹ × 19¹ × 13339¹
LCM(53352,53356) = 711662328