What is the Least Common Multiple of 47868 and 47876?

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 47868 and 47876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47868 and 47876, than apply into the LCM equation.

GCF(47868,47876) = 4
LCM(47868,47876) = ( 47868 × 47876) / 4
LCM(47868,47876) = 2291728368 / 4
LCM(47868,47876) = 572932092

Least Common Multiple (LCM) of 47868 and 47876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47868 and 47876. First we will calculate the prime factors of 47868 and 47876.

Prime Factorization of 47868

Prime Factorization of 47876

Now multiplying the highest exponent prime factors to calculate the LCM of 47868 and 47876.

LCM(47868,47876) = 2² × 3¹ × 3989¹ × 11969¹
LCM(47868,47876) = 572932092