What is the Least Common Multiple of 43935 and 43944?

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 43935 and 43944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43935 and 43944, than apply into the LCM equation.

GCF(43935,43944) = 3
LCM(43935,43944) = ( 43935 × 43944) / 3
LCM(43935,43944) = 1930679640 / 3
LCM(43935,43944) = 643559880

Least Common Multiple (LCM) of 43935 and 43944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43935 and 43944. First we will calculate the prime factors of 43935 and 43944.

Prime Factorization of 43935

Prime Factorization of 43944

Now multiplying the highest exponent prime factors to calculate the LCM of 43935 and 43944.

LCM(43935,43944) = 3¹ × 5¹ × 29¹ × 101¹ × 2³ × 1831¹
LCM(43935,43944) = 643559880