What is the Least Common Multiple of 47984 and 47996?

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 47984 and 47996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47984 and 47996, than apply into the LCM equation.

GCF(47984,47996) = 4
LCM(47984,47996) = ( 47984 × 47996) / 4
LCM(47984,47996) = 2303040064 / 4
LCM(47984,47996) = 575760016

Least Common Multiple (LCM) of 47984 and 47996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47984 and 47996. First we will calculate the prime factors of 47984 and 47996.

Prime Factorization of 47984

Prime Factorization of 47996

Now multiplying the highest exponent prime factors to calculate the LCM of 47984 and 47996.

LCM(47984,47996) = 2⁴ × 2999¹ × 13² × 71¹
LCM(47984,47996) = 575760016