What is the Least Common Multiple of 35650 and 35665?

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 35650 and 35665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35650 and 35665, than apply into the LCM equation.

GCF(35650,35665) = 5
LCM(35650,35665) = ( 35650 × 35665) / 5
LCM(35650,35665) = 1271457250 / 5
LCM(35650,35665) = 254291450

Least Common Multiple (LCM) of 35650 and 35665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35650 and 35665. First we will calculate the prime factors of 35650 and 35665.

Prime Factorization of 35650

Prime Factorization of 35665

Now multiplying the highest exponent prime factors to calculate the LCM of 35650 and 35665.

LCM(35650,35665) = 2¹ × 5² × 23¹ × 31¹ × 7¹ × 1019¹
LCM(35650,35665) = 254291450