What is the Least Common Multiple of 70944 and 70958?

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 70944 and 70958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70944 and 70958, than apply into the LCM equation.

GCF(70944,70958) = 2
LCM(70944,70958) = ( 70944 × 70958) / 2
LCM(70944,70958) = 5034044352 / 2
LCM(70944,70958) = 2517022176

Least Common Multiple (LCM) of 70944 and 70958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70944 and 70958. First we will calculate the prime factors of 70944 and 70958.

Prime Factorization of 70944

Prime Factorization of 70958

Now multiplying the highest exponent prime factors to calculate the LCM of 70944 and 70958.

LCM(70944,70958) = 2⁵ × 3¹ × 739¹ × 17¹ × 2087¹
LCM(70944,70958) = 2517022176