What is the Least Common Multiple of 51660 and 51678?

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 51660 and 51678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51660 and 51678, than apply into the LCM equation.

GCF(51660,51678) = 18
LCM(51660,51678) = ( 51660 × 51678) / 18
LCM(51660,51678) = 2669685480 / 18
LCM(51660,51678) = 148315860

Least Common Multiple (LCM) of 51660 and 51678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51660 and 51678. First we will calculate the prime factors of 51660 and 51678.

Prime Factorization of 51660

Prime Factorization of 51678

Now multiplying the highest exponent prime factors to calculate the LCM of 51660 and 51678.

LCM(51660,51678) = 2² × 3⁴ × 5¹ × 7¹ × 41¹ × 11¹ × 29¹
LCM(51660,51678) = 148315860