What is the Least Common Multiple of 66900 and 66916?

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 66900 and 66916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66900 and 66916, than apply into the LCM equation.

GCF(66900,66916) = 4
LCM(66900,66916) = ( 66900 × 66916) / 4
LCM(66900,66916) = 4476680400 / 4
LCM(66900,66916) = 1119170100

Least Common Multiple (LCM) of 66900 and 66916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66900 and 66916. First we will calculate the prime factors of 66900 and 66916.

Prime Factorization of 66900

Prime Factorization of 66916

Now multiplying the highest exponent prime factors to calculate the LCM of 66900 and 66916.

LCM(66900,66916) = 2² × 3¹ × 5² × 223¹ × 16729¹
LCM(66900,66916) = 1119170100