What is the Least Common Multiple of 54894 and 54900?

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 54894 and 54900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54894 and 54900, than apply into the LCM equation.

GCF(54894,54900) = 6
LCM(54894,54900) = ( 54894 × 54900) / 6
LCM(54894,54900) = 3013680600 / 6
LCM(54894,54900) = 502280100

Least Common Multiple (LCM) of 54894 and 54900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54894 and 54900. First we will calculate the prime factors of 54894 and 54900.

Prime Factorization of 54894

Prime Factorization of 54900

Now multiplying the highest exponent prime factors to calculate the LCM of 54894 and 54900.

LCM(54894,54900) = 2² × 3² × 7¹ × 1307¹ × 5² × 61¹
LCM(54894,54900) = 502280100