What is the Least Common Multiple of 23944 and 23958?

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 23944 and 23958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23944 and 23958, than apply into the LCM equation.

GCF(23944,23958) = 2
LCM(23944,23958) = ( 23944 × 23958) / 2
LCM(23944,23958) = 573650352 / 2
LCM(23944,23958) = 286825176

Least Common Multiple (LCM) of 23944 and 23958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23944 and 23958. First we will calculate the prime factors of 23944 and 23958.

Prime Factorization of 23944

Prime Factorization of 23958

Now multiplying the highest exponent prime factors to calculate the LCM of 23944 and 23958.

LCM(23944,23958) = 2³ × 41¹ × 73¹ × 3² × 11³
LCM(23944,23958) = 286825176