What is the Least Common Multiple of 43936 and 43942?

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 43936 and 43942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43936 and 43942, than apply into the LCM equation.

GCF(43936,43942) = 2
LCM(43936,43942) = ( 43936 × 43942) / 2
LCM(43936,43942) = 1930635712 / 2
LCM(43936,43942) = 965317856

Least Common Multiple (LCM) of 43936 and 43942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43936 and 43942. First we will calculate the prime factors of 43936 and 43942.

Prime Factorization of 43936

Prime Factorization of 43942

Now multiplying the highest exponent prime factors to calculate the LCM of 43936 and 43942.

LCM(43936,43942) = 2⁵ × 1373¹ × 127¹ × 173¹
LCM(43936,43942) = 965317856