What is the Least Common Multiple of 47916 and 47927?

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 47916 and 47927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47916 and 47927, than apply into the LCM equation.

GCF(47916,47927) = 11
LCM(47916,47927) = ( 47916 × 47927) / 11
LCM(47916,47927) = 2296470132 / 11
LCM(47916,47927) = 208770012

Least Common Multiple (LCM) of 47916 and 47927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47916 and 47927. First we will calculate the prime factors of 47916 and 47927.

Prime Factorization of 47916

Prime Factorization of 47927

Now multiplying the highest exponent prime factors to calculate the LCM of 47916 and 47927.

LCM(47916,47927) = 2² × 3² × 11³ × 4357¹
LCM(47916,47927) = 208770012