What is the Least Common Multiple of 60894 and 60900?

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 60894 and 60900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60894 and 60900, than apply into the LCM equation.

GCF(60894,60900) = 6
LCM(60894,60900) = ( 60894 × 60900) / 6
LCM(60894,60900) = 3708444600 / 6
LCM(60894,60900) = 618074100

Least Common Multiple (LCM) of 60894 and 60900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60894 and 60900. First we will calculate the prime factors of 60894 and 60900.

Prime Factorization of 60894

Prime Factorization of 60900

Now multiplying the highest exponent prime factors to calculate the LCM of 60894 and 60900.

LCM(60894,60900) = 2² × 3² × 17¹ × 199¹ × 5² × 7¹ × 29¹
LCM(60894,60900) = 618074100