What is the Least Common Multiple of 51660 and 51665?

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 51665 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 51665, than apply into the LCM equation.

GCF(51660,51665) = 5
LCM(51660,51665) = ( 51660 × 51665) / 5
LCM(51660,51665) = 2669013900 / 5
LCM(51660,51665) = 533802780

Least Common Multiple (LCM) of 51660 and 51665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51660 and 51665. First we will calculate the prime factors of 51660 and 51665.

Prime Factorization of 51660

Prime Factorization of 51665

Now multiplying the highest exponent prime factors to calculate the LCM of 51660 and 51665.

LCM(51660,51665) = 2² × 3² × 5¹ × 7¹ × 41¹ × 10333¹
LCM(51660,51665) = 533802780