What is the Least Common Multiple of 23502 and 23517?

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 23502 and 23517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23502 and 23517, than apply into the LCM equation.

GCF(23502,23517) = 3
LCM(23502,23517) = ( 23502 × 23517) / 3
LCM(23502,23517) = 552696534 / 3
LCM(23502,23517) = 184232178

Least Common Multiple (LCM) of 23502 and 23517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23502 and 23517. First we will calculate the prime factors of 23502 and 23517.

Prime Factorization of 23502

Prime Factorization of 23517

Now multiplying the highest exponent prime factors to calculate the LCM of 23502 and 23517.

LCM(23502,23517) = 2¹ × 3³ × 3917¹ × 13¹ × 67¹
LCM(23502,23517) = 184232178