What is the Least Common Multiple of 36670 and 36675?

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 36670 and 36675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36670 and 36675, than apply into the LCM equation.

GCF(36670,36675) = 5
LCM(36670,36675) = ( 36670 × 36675) / 5
LCM(36670,36675) = 1344872250 / 5
LCM(36670,36675) = 268974450

Least Common Multiple (LCM) of 36670 and 36675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36670 and 36675. First we will calculate the prime factors of 36670 and 36675.

Prime Factorization of 36670

Prime Factorization of 36675

Now multiplying the highest exponent prime factors to calculate the LCM of 36670 and 36675.

LCM(36670,36675) = 2¹ × 5² × 19¹ × 193¹ × 3² × 163¹
LCM(36670,36675) = 268974450