What is the Least Common Multiple of 23730 and 23745?

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 23730 and 23745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23730 and 23745, than apply into the LCM equation.

GCF(23730,23745) = 15
LCM(23730,23745) = ( 23730 × 23745) / 15
LCM(23730,23745) = 563468850 / 15
LCM(23730,23745) = 37564590

Least Common Multiple (LCM) of 23730 and 23745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23730 and 23745. First we will calculate the prime factors of 23730 and 23745.

Prime Factorization of 23730

Prime Factorization of 23745

Now multiplying the highest exponent prime factors to calculate the LCM of 23730 and 23745.

LCM(23730,23745) = 2¹ × 3¹ × 5¹ × 7¹ × 113¹ × 1583¹
LCM(23730,23745) = 37564590