What is the Least Common Multiple of 51552 and 51567?

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 51552 and 51567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51552 and 51567, than apply into the LCM equation.

GCF(51552,51567) = 3
LCM(51552,51567) = ( 51552 × 51567) / 3
LCM(51552,51567) = 2658381984 / 3
LCM(51552,51567) = 886127328

Least Common Multiple (LCM) of 51552 and 51567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51552 and 51567. First we will calculate the prime factors of 51552 and 51567.

Prime Factorization of 51552

Prime Factorization of 51567

Now multiplying the highest exponent prime factors to calculate the LCM of 51552 and 51567.

LCM(51552,51567) = 2⁵ × 3² × 179¹ × 17189¹
LCM(51552,51567) = 886127328