What is the Least Common Multiple of 52152 and 52164?

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 52152 and 52164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52152 and 52164, than apply into the LCM equation.

GCF(52152,52164) = 12
LCM(52152,52164) = ( 52152 × 52164) / 12
LCM(52152,52164) = 2720456928 / 12
LCM(52152,52164) = 226704744

Least Common Multiple (LCM) of 52152 and 52164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52152 and 52164. First we will calculate the prime factors of 52152 and 52164.

Prime Factorization of 52152

Prime Factorization of 52164

Now multiplying the highest exponent prime factors to calculate the LCM of 52152 and 52164.

LCM(52152,52164) = 2³ × 3⁴ × 41¹ × 53¹ × 7¹ × 23¹
LCM(52152,52164) = 226704744