What is the Least Common Multiple of 52068 and 52072?

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 52068 and 52072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52068 and 52072, than apply into the LCM equation.

GCF(52068,52072) = 4
LCM(52068,52072) = ( 52068 × 52072) / 4
LCM(52068,52072) = 2711284896 / 4
LCM(52068,52072) = 677821224

Least Common Multiple (LCM) of 52068 and 52072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52068 and 52072. First we will calculate the prime factors of 52068 and 52072.

Prime Factorization of 52068

Prime Factorization of 52072

Now multiplying the highest exponent prime factors to calculate the LCM of 52068 and 52072.

LCM(52068,52072) = 2³ × 3¹ × 4339¹ × 23¹ × 283¹
LCM(52068,52072) = 677821224