What is the Least Common Multiple of 36760 and 36775?

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 36760 and 36775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36760 and 36775, than apply into the LCM equation.

GCF(36760,36775) = 5
LCM(36760,36775) = ( 36760 × 36775) / 5
LCM(36760,36775) = 1351849000 / 5
LCM(36760,36775) = 270369800

Least Common Multiple (LCM) of 36760 and 36775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36760 and 36775. First we will calculate the prime factors of 36760 and 36775.

Prime Factorization of 36760

Prime Factorization of 36775

Now multiplying the highest exponent prime factors to calculate the LCM of 36760 and 36775.

LCM(36760,36775) = 2³ × 5² × 919¹ × 1471¹
LCM(36760,36775) = 270369800