What is the Least Common Multiple of 83944 and 83958?

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 83944 and 83958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83944 and 83958, than apply into the LCM equation.

GCF(83944,83958) = 14
LCM(83944,83958) = ( 83944 × 83958) / 14
LCM(83944,83958) = 7047770352 / 14
LCM(83944,83958) = 503412168

Least Common Multiple (LCM) of 83944 and 83958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83944 and 83958. First we will calculate the prime factors of 83944 and 83958.

Prime Factorization of 83944

Prime Factorization of 83958

Now multiplying the highest exponent prime factors to calculate the LCM of 83944 and 83958.

LCM(83944,83958) = 2³ × 7¹ × 1499¹ × 3¹ × 1999¹
LCM(83944,83958) = 503412168