What is the Least Common Multiple of 43650 and 43665?

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 43650 and 43665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43650 and 43665, than apply into the LCM equation.

GCF(43650,43665) = 15
LCM(43650,43665) = ( 43650 × 43665) / 15
LCM(43650,43665) = 1905977250 / 15
LCM(43650,43665) = 127065150

Least Common Multiple (LCM) of 43650 and 43665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43650 and 43665. First we will calculate the prime factors of 43650 and 43665.

Prime Factorization of 43650

Prime Factorization of 43665

Now multiplying the highest exponent prime factors to calculate the LCM of 43650 and 43665.

LCM(43650,43665) = 2¹ × 3² × 5² × 97¹ × 41¹ × 71¹
LCM(43650,43665) = 127065150