What is the Least Common Multiple of 52548 and 52552?

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 52548 and 52552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52548 and 52552, than apply into the LCM equation.

GCF(52548,52552) = 4
LCM(52548,52552) = ( 52548 × 52552) / 4
LCM(52548,52552) = 2761502496 / 4
LCM(52548,52552) = 690375624

Least Common Multiple (LCM) of 52548 and 52552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52548 and 52552. First we will calculate the prime factors of 52548 and 52552.

Prime Factorization of 52548

Prime Factorization of 52552

Now multiplying the highest exponent prime factors to calculate the LCM of 52548 and 52552.

LCM(52548,52552) = 2³ × 3¹ × 29¹ × 151¹ × 6569¹
LCM(52548,52552) = 690375624