What is the Least Common Multiple of 83943 and 83952?

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 83943 and 83952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83943 and 83952, than apply into the LCM equation.

GCF(83943,83952) = 9
LCM(83943,83952) = ( 83943 × 83952) / 9
LCM(83943,83952) = 7047182736 / 9
LCM(83943,83952) = 783020304

Least Common Multiple (LCM) of 83943 and 83952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83943 and 83952. First we will calculate the prime factors of 83943 and 83952.

Prime Factorization of 83943

Prime Factorization of 83952

Now multiplying the highest exponent prime factors to calculate the LCM of 83943 and 83952.

LCM(83943,83952) = 3³ × 3109¹ × 2⁴ × 11¹ × 53¹
LCM(83943,83952) = 783020304