What is the Least Common Multiple of 36493 and 36501?

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 36493 and 36501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36493 and 36501, than apply into the LCM equation.

GCF(36493,36501) = 1
LCM(36493,36501) = ( 36493 × 36501) / 1
LCM(36493,36501) = 1332030993 / 1
LCM(36493,36501) = 1332030993

Least Common Multiple (LCM) of 36493 and 36501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36493 and 36501. First we will calculate the prime factors of 36493 and 36501.

Prime Factorization of 36493

Prime Factorization of 36501

Now multiplying the highest exponent prime factors to calculate the LCM of 36493 and 36501.

LCM(36493,36501) = 36493¹ × 3¹ × 23³
LCM(36493,36501) = 1332030993