What is the Least Common Multiple of 78944 and 78948?

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 78948 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 78948, than apply into the LCM equation.

GCF(78944,78948) = 4
LCM(78944,78948) = ( 78944 × 78948) / 4
LCM(78944,78948) = 6232470912 / 4
LCM(78944,78948) = 1558117728

Least Common Multiple (LCM) of 78944 and 78948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78944 and 78948. First we will calculate the prime factors of 78944 and 78948.

Prime Factorization of 78944

Prime Factorization of 78948

Now multiplying the highest exponent prime factors to calculate the LCM of 78944 and 78948.

LCM(78944,78948) = 2⁵ × 2467¹ × 3³ × 17¹ × 43¹
LCM(78944,78948) = 1558117728