What is the Least Common Multiple of 43944 and 43962?

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 43962 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 43962, than apply into the LCM equation.

GCF(43944,43962) = 6
LCM(43944,43962) = ( 43944 × 43962) / 6
LCM(43944,43962) = 1931866128 / 6
LCM(43944,43962) = 321977688

Least Common Multiple (LCM) of 43944 and 43962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43944 and 43962. First we will calculate the prime factors of 43944 and 43962.

Prime Factorization of 43944

Prime Factorization of 43962

Now multiplying the highest exponent prime factors to calculate the LCM of 43944 and 43962.

LCM(43944,43962) = 2³ × 3¹ × 1831¹ × 17¹ × 431¹
LCM(43944,43962) = 321977688