What is the Least Common Multiple of 75552 and 75567?

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 75552 and 75567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75552 and 75567, than apply into the LCM equation.

GCF(75552,75567) = 3
LCM(75552,75567) = ( 75552 × 75567) / 3
LCM(75552,75567) = 5709237984 / 3
LCM(75552,75567) = 1903079328

Least Common Multiple (LCM) of 75552 and 75567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75552 and 75567. First we will calculate the prime factors of 75552 and 75567.

Prime Factorization of 75552

Prime Factorization of 75567

Now multiplying the highest exponent prime factors to calculate the LCM of 75552 and 75567.

LCM(75552,75567) = 2⁵ × 3¹ × 787¹ × 25189¹
LCM(75552,75567) = 1903079328