What is the Least Common Multiple of 42944 and 42958?

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 42944 and 42958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42944 and 42958, than apply into the LCM equation.

GCF(42944,42958) = 2
LCM(42944,42958) = ( 42944 × 42958) / 2
LCM(42944,42958) = 1844788352 / 2
LCM(42944,42958) = 922394176

Least Common Multiple (LCM) of 42944 and 42958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42944 and 42958. First we will calculate the prime factors of 42944 and 42958.

Prime Factorization of 42944

Prime Factorization of 42958

Now multiplying the highest exponent prime factors to calculate the LCM of 42944 and 42958.

LCM(42944,42958) = 2⁶ × 11¹ × 61¹ × 47¹ × 457¹
LCM(42944,42958) = 922394176