What is the Least Common Multiple of 66900 and 66912?

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 66912 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 66912, than apply into the LCM equation.

GCF(66900,66912) = 12
LCM(66900,66912) = ( 66900 × 66912) / 12
LCM(66900,66912) = 4476412800 / 12
LCM(66900,66912) = 373034400

Least Common Multiple (LCM) of 66900 and 66912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66900 and 66912. First we will calculate the prime factors of 66900 and 66912.

Prime Factorization of 66900

Prime Factorization of 66912

Now multiplying the highest exponent prime factors to calculate the LCM of 66900 and 66912.

LCM(66900,66912) = 2⁵ × 3¹ × 5² × 223¹ × 17¹ × 41¹
LCM(66900,66912) = 373034400