What is the Least Common Multiple of 48894 and 48900?

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 48894 and 48900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48894 and 48900, than apply into the LCM equation.

GCF(48894,48900) = 6
LCM(48894,48900) = ( 48894 × 48900) / 6
LCM(48894,48900) = 2390916600 / 6
LCM(48894,48900) = 398486100

Least Common Multiple (LCM) of 48894 and 48900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48894 and 48900. First we will calculate the prime factors of 48894 and 48900.

Prime Factorization of 48894

Prime Factorization of 48900

Now multiplying the highest exponent prime factors to calculate the LCM of 48894 and 48900.

LCM(48894,48900) = 2² × 3¹ × 29¹ × 281¹ × 5² × 163¹
LCM(48894,48900) = 398486100