What is the Least Common Multiple of 48675 and 48687?

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 48675 and 48687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48675 and 48687, than apply into the LCM equation.

GCF(48675,48687) = 3
LCM(48675,48687) = ( 48675 × 48687) / 3
LCM(48675,48687) = 2369839725 / 3
LCM(48675,48687) = 789946575

Least Common Multiple (LCM) of 48675 and 48687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48675 and 48687. First we will calculate the prime factors of 48675 and 48687.

Prime Factorization of 48675

Prime Factorization of 48687

Now multiplying the highest exponent prime factors to calculate the LCM of 48675 and 48687.

LCM(48675,48687) = 3¹ × 5² × 11¹ × 59¹ × 16229¹
LCM(48675,48687) = 789946575