What is the Least Common Multiple of 36460 and 36475?

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 36460 and 36475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36460 and 36475, than apply into the LCM equation.

GCF(36460,36475) = 5
LCM(36460,36475) = ( 36460 × 36475) / 5
LCM(36460,36475) = 1329878500 / 5
LCM(36460,36475) = 265975700

Least Common Multiple (LCM) of 36460 and 36475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36460 and 36475. First we will calculate the prime factors of 36460 and 36475.

Prime Factorization of 36460

Prime Factorization of 36475

Now multiplying the highest exponent prime factors to calculate the LCM of 36460 and 36475.

LCM(36460,36475) = 2² × 5² × 1823¹ × 1459¹
LCM(36460,36475) = 265975700