What is the Least Common Multiple of 11775 and 11790?

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 11775 and 11790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11775 and 11790, than apply into the LCM equation.

GCF(11775,11790) = 15
LCM(11775,11790) = ( 11775 × 11790) / 15
LCM(11775,11790) = 138827250 / 15
LCM(11775,11790) = 9255150

Least Common Multiple (LCM) of 11775 and 11790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11775 and 11790. First we will calculate the prime factors of 11775 and 11790.

Prime Factorization of 11775

Prime Factorization of 11790

Now multiplying the highest exponent prime factors to calculate the LCM of 11775 and 11790.

LCM(11775,11790) = 3² × 5² × 157¹ × 2¹ × 131¹
LCM(11775,11790) = 9255150