What is the Least Common Multiple of 57548 and 57552?

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 57548 and 57552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57548 and 57552, than apply into the LCM equation.

GCF(57548,57552) = 4
LCM(57548,57552) = ( 57548 × 57552) / 4
LCM(57548,57552) = 3312002496 / 4
LCM(57548,57552) = 828000624

Least Common Multiple (LCM) of 57548 and 57552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57548 and 57552. First we will calculate the prime factors of 57548 and 57552.

Prime Factorization of 57548

Prime Factorization of 57552

Now multiplying the highest exponent prime factors to calculate the LCM of 57548 and 57552.

LCM(57548,57552) = 2⁴ × 14387¹ × 3¹ × 11¹ × 109¹
LCM(57548,57552) = 828000624