What is the Least Common Multiple of 72552 and 72567?

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 72552 and 72567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72552 and 72567, than apply into the LCM equation.

GCF(72552,72567) = 3
LCM(72552,72567) = ( 72552 × 72567) / 3
LCM(72552,72567) = 5264880984 / 3
LCM(72552,72567) = 1754960328

Least Common Multiple (LCM) of 72552 and 72567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72552 and 72567. First we will calculate the prime factors of 72552 and 72567.

Prime Factorization of 72552

Prime Factorization of 72567

Now multiplying the highest exponent prime factors to calculate the LCM of 72552 and 72567.

LCM(72552,72567) = 2³ × 3² × 3023¹ × 11¹ × 733¹
LCM(72552,72567) = 1754960328