What is the Least Common Multiple of 23180 and 23185?

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 23180 and 23185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23180 and 23185, than apply into the LCM equation.

GCF(23180,23185) = 5
LCM(23180,23185) = ( 23180 × 23185) / 5
LCM(23180,23185) = 537428300 / 5
LCM(23180,23185) = 107485660

Least Common Multiple (LCM) of 23180 and 23185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23180 and 23185. First we will calculate the prime factors of 23180 and 23185.

Prime Factorization of 23180

Prime Factorization of 23185

Now multiplying the highest exponent prime factors to calculate the LCM of 23180 and 23185.

LCM(23180,23185) = 2² × 5¹ × 19¹ × 61¹ × 4637¹
LCM(23180,23185) = 107485660