What is the Least Common Multiple of 78944 and 78958?

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 78944 and 78958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78944 and 78958, than apply into the LCM equation.

GCF(78944,78958) = 2
LCM(78944,78958) = ( 78944 × 78958) / 2
LCM(78944,78958) = 6233260352 / 2
LCM(78944,78958) = 3116630176

Least Common Multiple (LCM) of 78944 and 78958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78944 and 78958. First we will calculate the prime factors of 78944 and 78958.

Prime Factorization of 78944

Prime Factorization of 78958

Now multiplying the highest exponent prime factors to calculate the LCM of 78944 and 78958.

LCM(78944,78958) = 2⁵ × 2467¹ × 11¹ × 37¹ × 97¹
LCM(78944,78958) = 3116630176