What is the Least Common Multiple of 47976 and 47992?

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 47976 and 47992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47976 and 47992, than apply into the LCM equation.

GCF(47976,47992) = 8
LCM(47976,47992) = ( 47976 × 47992) / 8
LCM(47976,47992) = 2302464192 / 8
LCM(47976,47992) = 287808024

Least Common Multiple (LCM) of 47976 and 47992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47976 and 47992. First we will calculate the prime factors of 47976 and 47992.

Prime Factorization of 47976

Prime Factorization of 47992

Now multiplying the highest exponent prime factors to calculate the LCM of 47976 and 47992.

LCM(47976,47992) = 2³ × 3¹ × 1999¹ × 7¹ × 857¹
LCM(47976,47992) = 287808024