What is the Least Common Multiple of 41665 and 41675?

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 41665 and 41675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41665 and 41675, than apply into the LCM equation.

GCF(41665,41675) = 5
LCM(41665,41675) = ( 41665 × 41675) / 5
LCM(41665,41675) = 1736388875 / 5
LCM(41665,41675) = 347277775

Least Common Multiple (LCM) of 41665 and 41675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41665 and 41675. First we will calculate the prime factors of 41665 and 41675.

Prime Factorization of 41665

Prime Factorization of 41675

Now multiplying the highest exponent prime factors to calculate the LCM of 41665 and 41675.

LCM(41665,41675) = 5² × 13¹ × 641¹ × 1667¹
LCM(41665,41675) = 347277775