What is the Least Common Multiple of 48552 and 48567?

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 48552 and 48567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48552 and 48567, than apply into the LCM equation.

GCF(48552,48567) = 3
LCM(48552,48567) = ( 48552 × 48567) / 3
LCM(48552,48567) = 2358024984 / 3
LCM(48552,48567) = 786008328

Least Common Multiple (LCM) of 48552 and 48567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48552 and 48567. First we will calculate the prime factors of 48552 and 48567.

Prime Factorization of 48552

Prime Factorization of 48567

Now multiplying the highest exponent prime factors to calculate the LCM of 48552 and 48567.

LCM(48552,48567) = 2³ × 3¹ × 7¹ × 17² × 16189¹
LCM(48552,48567) = 786008328