What is the Least Common Multiple of 23580 and 23595?

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 23580 and 23595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23580 and 23595, than apply into the LCM equation.

GCF(23580,23595) = 15
LCM(23580,23595) = ( 23580 × 23595) / 15
LCM(23580,23595) = 556370100 / 15
LCM(23580,23595) = 37091340

Least Common Multiple (LCM) of 23580 and 23595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23580 and 23595. First we will calculate the prime factors of 23580 and 23595.

Prime Factorization of 23580

Prime Factorization of 23595

Now multiplying the highest exponent prime factors to calculate the LCM of 23580 and 23595.

LCM(23580,23595) = 2² × 3² × 5¹ × 131¹ × 11² × 13¹
LCM(23580,23595) = 37091340