What is the Least Common Multiple of 57552 and 57567?

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 57552 and 57567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57552 and 57567, than apply into the LCM equation.

GCF(57552,57567) = 3
LCM(57552,57567) = ( 57552 × 57567) / 3
LCM(57552,57567) = 3313095984 / 3
LCM(57552,57567) = 1104365328

Least Common Multiple (LCM) of 57552 and 57567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57552 and 57567. First we will calculate the prime factors of 57552 and 57567.

Prime Factorization of 57552

Prime Factorization of 57567

Now multiplying the highest exponent prime factors to calculate the LCM of 57552 and 57567.

LCM(57552,57567) = 2⁴ × 3¹ × 11¹ × 109¹ × 31¹ × 619¹
LCM(57552,57567) = 1104365328