What is the Least Common Multiple of 55650 and 55665?

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 55650 and 55665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55650 and 55665, than apply into the LCM equation.

GCF(55650,55665) = 15
LCM(55650,55665) = ( 55650 × 55665) / 15
LCM(55650,55665) = 3097757250 / 15
LCM(55650,55665) = 206517150

Least Common Multiple (LCM) of 55650 and 55665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55650 and 55665. First we will calculate the prime factors of 55650 and 55665.

Prime Factorization of 55650

Prime Factorization of 55665

Now multiplying the highest exponent prime factors to calculate the LCM of 55650 and 55665.

LCM(55650,55665) = 2¹ × 3² × 5² × 7¹ × 53¹ × 1237¹
LCM(55650,55665) = 206517150