What is the Least Common Multiple of 23945 and 23950?

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 23945 and 23950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23945 and 23950, than apply into the LCM equation.

GCF(23945,23950) = 5
LCM(23945,23950) = ( 23945 × 23950) / 5
LCM(23945,23950) = 573482750 / 5
LCM(23945,23950) = 114696550

Least Common Multiple (LCM) of 23945 and 23950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23945 and 23950. First we will calculate the prime factors of 23945 and 23950.

Prime Factorization of 23945

Prime Factorization of 23950

Now multiplying the highest exponent prime factors to calculate the LCM of 23945 and 23950.

LCM(23945,23950) = 5² × 4789¹ × 2¹ × 479¹
LCM(23945,23950) = 114696550