What is the Least Common Multiple of 54660 and 54678?

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 54660 and 54678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54660 and 54678, than apply into the LCM equation.

GCF(54660,54678) = 6
LCM(54660,54678) = ( 54660 × 54678) / 6
LCM(54660,54678) = 2988699480 / 6
LCM(54660,54678) = 498116580

Least Common Multiple (LCM) of 54660 and 54678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54660 and 54678. First we will calculate the prime factors of 54660 and 54678.

Prime Factorization of 54660

Prime Factorization of 54678

Now multiplying the highest exponent prime factors to calculate the LCM of 54660 and 54678.

LCM(54660,54678) = 2² × 3¹ × 5¹ × 911¹ × 13¹ × 701¹
LCM(54660,54678) = 498116580