What is the Least Common Multiple of 54648 and 54652?

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 54648 and 54652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54648 and 54652, than apply into the LCM equation.

GCF(54648,54652) = 4
LCM(54648,54652) = ( 54648 × 54652) / 4
LCM(54648,54652) = 2986622496 / 4
LCM(54648,54652) = 746655624

Least Common Multiple (LCM) of 54648 and 54652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54648 and 54652. First we will calculate the prime factors of 54648 and 54652.

Prime Factorization of 54648

Prime Factorization of 54652

Now multiplying the highest exponent prime factors to calculate the LCM of 54648 and 54652.

LCM(54648,54652) = 2³ × 3³ × 11¹ × 23¹ × 13¹ × 1051¹
LCM(54648,54652) = 746655624