What is the Least Common Multiple of 53352 and 53358?

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 53358 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 53358, than apply into the LCM equation.

GCF(53352,53358) = 6
LCM(53352,53358) = ( 53352 × 53358) / 6
LCM(53352,53358) = 2846756016 / 6
LCM(53352,53358) = 474459336

Least Common Multiple (LCM) of 53352 and 53358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53352 and 53358. First we will calculate the prime factors of 53352 and 53358.

Prime Factorization of 53352

Prime Factorization of 53358

Now multiplying the highest exponent prime factors to calculate the LCM of 53352 and 53358.

LCM(53352,53358) = 2³ × 3³ × 13¹ × 19¹ × 8893¹
LCM(53352,53358) = 474459336