What is the Least Common Multiple of 47328 and 47337?

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 47328 and 47337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47328 and 47337, than apply into the LCM equation.

GCF(47328,47337) = 3
LCM(47328,47337) = ( 47328 × 47337) / 3
LCM(47328,47337) = 2240365536 / 3
LCM(47328,47337) = 746788512

Least Common Multiple (LCM) of 47328 and 47337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47328 and 47337. First we will calculate the prime factors of 47328 and 47337.

Prime Factorization of 47328

Prime Factorization of 47337

Now multiplying the highest exponent prime factors to calculate the LCM of 47328 and 47337.

LCM(47328,47337) = 2⁵ × 3¹ × 17¹ × 29¹ × 31¹ × 509¹
LCM(47328,47337) = 746788512