What is the Least Common Multiple of 23910 and 23915?

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 23910 and 23915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23910 and 23915, than apply into the LCM equation.

GCF(23910,23915) = 5
LCM(23910,23915) = ( 23910 × 23915) / 5
LCM(23910,23915) = 571807650 / 5
LCM(23910,23915) = 114361530

Least Common Multiple (LCM) of 23910 and 23915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23910 and 23915. First we will calculate the prime factors of 23910 and 23915.

Prime Factorization of 23910

Prime Factorization of 23915

Now multiplying the highest exponent prime factors to calculate the LCM of 23910 and 23915.

LCM(23910,23915) = 2¹ × 3¹ × 5¹ × 797¹ × 4783¹
LCM(23910,23915) = 114361530