What is the Least Common Multiple of 41775 and 41790?

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 41775 and 41790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41775 and 41790, than apply into the LCM equation.

GCF(41775,41790) = 15
LCM(41775,41790) = ( 41775 × 41790) / 15
LCM(41775,41790) = 1745777250 / 15
LCM(41775,41790) = 116385150

Least Common Multiple (LCM) of 41775 and 41790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41775 and 41790. First we will calculate the prime factors of 41775 and 41790.

Prime Factorization of 41775

Prime Factorization of 41790

Now multiplying the highest exponent prime factors to calculate the LCM of 41775 and 41790.

LCM(41775,41790) = 3¹ × 5² × 557¹ × 2¹ × 7¹ × 199¹
LCM(41775,41790) = 116385150