What is the Least Common Multiple of 23730 and 23737?

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 23737 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 23737, than apply into the LCM equation.

GCF(23730,23737) = 7
LCM(23730,23737) = ( 23730 × 23737) / 7
LCM(23730,23737) = 563279010 / 7
LCM(23730,23737) = 80468430

Least Common Multiple (LCM) of 23730 and 23737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23730 and 23737. First we will calculate the prime factors of 23730 and 23737.

Prime Factorization of 23730

Prime Factorization of 23737

Now multiplying the highest exponent prime factors to calculate the LCM of 23730 and 23737.

LCM(23730,23737) = 2¹ × 3¹ × 5¹ × 7¹ × 113¹ × 3391¹
LCM(23730,23737) = 80468430