What is the Least Common Multiple of 47895 and 47900?

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 47895 and 47900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47895 and 47900, than apply into the LCM equation.

GCF(47895,47900) = 5
LCM(47895,47900) = ( 47895 × 47900) / 5
LCM(47895,47900) = 2294170500 / 5
LCM(47895,47900) = 458834100

Least Common Multiple (LCM) of 47895 and 47900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47895 and 47900. First we will calculate the prime factors of 47895 and 47900.

Prime Factorization of 47895

Prime Factorization of 47900

Now multiplying the highest exponent prime factors to calculate the LCM of 47895 and 47900.

LCM(47895,47900) = 3¹ × 5² × 31¹ × 103¹ × 2² × 479¹
LCM(47895,47900) = 458834100