What is the Least Common Multiple of 52860 and 52875?

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 52860 and 52875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52860 and 52875, than apply into the LCM equation.

GCF(52860,52875) = 15
LCM(52860,52875) = ( 52860 × 52875) / 15
LCM(52860,52875) = 2794972500 / 15
LCM(52860,52875) = 186331500

Least Common Multiple (LCM) of 52860 and 52875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52860 and 52875. First we will calculate the prime factors of 52860 and 52875.

Prime Factorization of 52860

Prime Factorization of 52875

Now multiplying the highest exponent prime factors to calculate the LCM of 52860 and 52875.

LCM(52860,52875) = 2² × 3² × 5³ × 881¹ × 47¹
LCM(52860,52875) = 186331500