What is the Least Common Multiple of 11760 and 11775?

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 11760 and 11775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11760 and 11775, than apply into the LCM equation.

GCF(11760,11775) = 15
LCM(11760,11775) = ( 11760 × 11775) / 15
LCM(11760,11775) = 138474000 / 15
LCM(11760,11775) = 9231600

Least Common Multiple (LCM) of 11760 and 11775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11760 and 11775. First we will calculate the prime factors of 11760 and 11775.

Prime Factorization of 11760

Prime Factorization of 11775

Now multiplying the highest exponent prime factors to calculate the LCM of 11760 and 11775.

LCM(11760,11775) = 2⁴ × 3¹ × 5² × 7² × 157¹
LCM(11760,11775) = 9231600