What is the Least Common Multiple of 43944 and 43958?

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 43944 and 43958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43944 and 43958, than apply into the LCM equation.

GCF(43944,43958) = 2
LCM(43944,43958) = ( 43944 × 43958) / 2
LCM(43944,43958) = 1931690352 / 2
LCM(43944,43958) = 965845176

Least Common Multiple (LCM) of 43944 and 43958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43944 and 43958. First we will calculate the prime factors of 43944 and 43958.

Prime Factorization of 43944

Prime Factorization of 43958

Now multiplying the highest exponent prime factors to calculate the LCM of 43944 and 43958.

LCM(43944,43958) = 2³ × 3¹ × 1831¹ × 31¹ × 709¹
LCM(43944,43958) = 965845176