What is the Least Common Multiple of 52356 and 52371?

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 52356 and 52371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52356 and 52371, than apply into the LCM equation.

GCF(52356,52371) = 3
LCM(52356,52371) = ( 52356 × 52371) / 3
LCM(52356,52371) = 2741936076 / 3
LCM(52356,52371) = 913978692

Least Common Multiple (LCM) of 52356 and 52371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52356 and 52371. First we will calculate the prime factors of 52356 and 52371.

Prime Factorization of 52356

Prime Factorization of 52371

Now multiplying the highest exponent prime factors to calculate the LCM of 52356 and 52371.

LCM(52356,52371) = 2² × 3² × 4363¹ × 11¹ × 23²
LCM(52356,52371) = 913978692