What is the Least Common Multiple of 23715 and 23730?

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 23715 and 23730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23715 and 23730, than apply into the LCM equation.

GCF(23715,23730) = 15
LCM(23715,23730) = ( 23715 × 23730) / 15
LCM(23715,23730) = 562756950 / 15
LCM(23715,23730) = 37517130

Least Common Multiple (LCM) of 23715 and 23730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23715 and 23730. First we will calculate the prime factors of 23715 and 23730.

Prime Factorization of 23715

Prime Factorization of 23730

Now multiplying the highest exponent prime factors to calculate the LCM of 23715 and 23730.

LCM(23715,23730) = 3² × 5¹ × 17¹ × 31¹ × 2¹ × 7¹ × 113¹
LCM(23715,23730) = 37517130