What is the Least Common Multiple of 23595 and 23613?

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 23595 and 23613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23595 and 23613, than apply into the LCM equation.

GCF(23595,23613) = 3
LCM(23595,23613) = ( 23595 × 23613) / 3
LCM(23595,23613) = 557148735 / 3
LCM(23595,23613) = 185716245

Least Common Multiple (LCM) of 23595 and 23613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23595 and 23613. First we will calculate the prime factors of 23595 and 23613.

Prime Factorization of 23595

Prime Factorization of 23613

Now multiplying the highest exponent prime factors to calculate the LCM of 23595 and 23613.

LCM(23595,23613) = 3¹ × 5¹ × 11² × 13¹ × 17¹ × 463¹
LCM(23595,23613) = 185716245