What is the Least Common Multiple of 47931 and 47944?

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 47931 and 47944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47931 and 47944, than apply into the LCM equation.

GCF(47931,47944) = 13
LCM(47931,47944) = ( 47931 × 47944) / 13
LCM(47931,47944) = 2298003864 / 13
LCM(47931,47944) = 176769528

Least Common Multiple (LCM) of 47931 and 47944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47931 and 47944. First we will calculate the prime factors of 47931 and 47944.

Prime Factorization of 47931

Prime Factorization of 47944

Now multiplying the highest exponent prime factors to calculate the LCM of 47931 and 47944.

LCM(47931,47944) = 3¹ × 13¹ × 1229¹ × 2³ × 461¹
LCM(47931,47944) = 176769528