What is the Least Common Multiple of 83650 and 83664?

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 83650 and 83664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83650 and 83664, than apply into the LCM equation.

GCF(83650,83664) = 14
LCM(83650,83664) = ( 83650 × 83664) / 14
LCM(83650,83664) = 6998493600 / 14
LCM(83650,83664) = 499892400

Least Common Multiple (LCM) of 83650 and 83664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83650 and 83664. First we will calculate the prime factors of 83650 and 83664.

Prime Factorization of 83650

Prime Factorization of 83664

Now multiplying the highest exponent prime factors to calculate the LCM of 83650 and 83664.

LCM(83650,83664) = 2⁴ × 5² × 7¹ × 239¹ × 3² × 83¹
LCM(83650,83664) = 499892400