What is the Least Common Multiple of 53352 and 53370?

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 53370 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 53370, than apply into the LCM equation.

GCF(53352,53370) = 18
LCM(53352,53370) = ( 53352 × 53370) / 18
LCM(53352,53370) = 2847396240 / 18
LCM(53352,53370) = 158188680

Least Common Multiple (LCM) of 53352 and 53370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53352 and 53370. First we will calculate the prime factors of 53352 and 53370.

Prime Factorization of 53352

Prime Factorization of 53370

Now multiplying the highest exponent prime factors to calculate the LCM of 53352 and 53370.

LCM(53352,53370) = 2³ × 3³ × 13¹ × 19¹ × 5¹ × 593¹
LCM(53352,53370) = 158188680