What is the Least Common Multiple of 66894 and 66900?

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 66894 and 66900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66894 and 66900, than apply into the LCM equation.

GCF(66894,66900) = 6
LCM(66894,66900) = ( 66894 × 66900) / 6
LCM(66894,66900) = 4475208600 / 6
LCM(66894,66900) = 745868100

Least Common Multiple (LCM) of 66894 and 66900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66894 and 66900. First we will calculate the prime factors of 66894 and 66900.

Prime Factorization of 66894

Prime Factorization of 66900

Now multiplying the highest exponent prime factors to calculate the LCM of 66894 and 66900.

LCM(66894,66900) = 2² × 3¹ × 11149¹ × 5² × 223¹
LCM(66894,66900) = 745868100