What is the Least Common Multiple of 51645 and 51660?

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 51645 and 51660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51645 and 51660, than apply into the LCM equation.

GCF(51645,51660) = 15
LCM(51645,51660) = ( 51645 × 51660) / 15
LCM(51645,51660) = 2667980700 / 15
LCM(51645,51660) = 177865380

Least Common Multiple (LCM) of 51645 and 51660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51645 and 51660. First we will calculate the prime factors of 51645 and 51660.

Prime Factorization of 51645

Prime Factorization of 51660

Now multiplying the highest exponent prime factors to calculate the LCM of 51645 and 51660.

LCM(51645,51660) = 3² × 5¹ × 11¹ × 313¹ × 2² × 7¹ × 41¹
LCM(51645,51660) = 177865380