What is the Least Common Multiple of 48648 and 48652?

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 48648 and 48652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48648 and 48652, than apply into the LCM equation.

GCF(48648,48652) = 4
LCM(48648,48652) = ( 48648 × 48652) / 4
LCM(48648,48652) = 2366822496 / 4
LCM(48648,48652) = 591705624

Least Common Multiple (LCM) of 48648 and 48652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48648 and 48652. First we will calculate the prime factors of 48648 and 48652.

Prime Factorization of 48648

Prime Factorization of 48652

Now multiplying the highest exponent prime factors to calculate the LCM of 48648 and 48652.

LCM(48648,48652) = 2³ × 3¹ × 2027¹ × 12163¹
LCM(48648,48652) = 591705624