What is the Least Common Multiple of 47000 and 47016?

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 47000 and 47016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47000 and 47016, than apply into the LCM equation.

GCF(47000,47016) = 8
LCM(47000,47016) = ( 47000 × 47016) / 8
LCM(47000,47016) = 2209752000 / 8
LCM(47000,47016) = 276219000

Least Common Multiple (LCM) of 47000 and 47016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47000 and 47016. First we will calculate the prime factors of 47000 and 47016.

Prime Factorization of 47000

Prime Factorization of 47016

Now multiplying the highest exponent prime factors to calculate the LCM of 47000 and 47016.

LCM(47000,47016) = 2³ × 5³ × 47¹ × 3² × 653¹
LCM(47000,47016) = 276219000