What is the Least Common Multiple of 36675 and 36680?

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 36675 and 36680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36675 and 36680, than apply into the LCM equation.

GCF(36675,36680) = 5
LCM(36675,36680) = ( 36675 × 36680) / 5
LCM(36675,36680) = 1345239000 / 5
LCM(36675,36680) = 269047800

Least Common Multiple (LCM) of 36675 and 36680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36675 and 36680. First we will calculate the prime factors of 36675 and 36680.

Prime Factorization of 36675

Prime Factorization of 36680

Now multiplying the highest exponent prime factors to calculate the LCM of 36675 and 36680.

LCM(36675,36680) = 3² × 5² × 163¹ × 2³ × 7¹ × 131¹
LCM(36675,36680) = 269047800