What is the Least Common Multiple of 57552 and 57564?

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 57564 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 57564, than apply into the LCM equation.

GCF(57552,57564) = 12
LCM(57552,57564) = ( 57552 × 57564) / 12
LCM(57552,57564) = 3312923328 / 12
LCM(57552,57564) = 276076944

Least Common Multiple (LCM) of 57552 and 57564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57552 and 57564. First we will calculate the prime factors of 57552 and 57564.

Prime Factorization of 57552

Prime Factorization of 57564

Now multiplying the highest exponent prime factors to calculate the LCM of 57552 and 57564.

LCM(57552,57564) = 2⁴ × 3³ × 11¹ × 109¹ × 13¹ × 41¹
LCM(57552,57564) = 276076944