What is the Least Common Multiple of 23613 and 23617?

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 23613 and 23617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23613 and 23617, than apply into the LCM equation.

GCF(23613,23617) = 1
LCM(23613,23617) = ( 23613 × 23617) / 1
LCM(23613,23617) = 557668221 / 1
LCM(23613,23617) = 557668221

Least Common Multiple (LCM) of 23613 and 23617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23613 and 23617. First we will calculate the prime factors of 23613 and 23617.

Prime Factorization of 23613

Prime Factorization of 23617

Now multiplying the highest exponent prime factors to calculate the LCM of 23613 and 23617.

LCM(23613,23617) = 3¹ × 17¹ × 463¹ × 11¹ × 19¹ × 113¹
LCM(23613,23617) = 557668221