What is the Least Common Multiple of 54639 and 54648?

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 54639 and 54648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54639 and 54648, than apply into the LCM equation.

GCF(54639,54648) = 9
LCM(54639,54648) = ( 54639 × 54648) / 9
LCM(54639,54648) = 2985912072 / 9
LCM(54639,54648) = 331768008

Least Common Multiple (LCM) of 54639 and 54648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54639 and 54648. First we will calculate the prime factors of 54639 and 54648.

Prime Factorization of 54639

Prime Factorization of 54648

Now multiplying the highest exponent prime factors to calculate the LCM of 54639 and 54648.

LCM(54639,54648) = 3³ × 13¹ × 467¹ × 2³ × 11¹ × 23¹
LCM(54639,54648) = 331768008