What is the Least Common Multiple of 22910 and 22915?

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 22910 and 22915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22910 and 22915, than apply into the LCM equation.

GCF(22910,22915) = 5
LCM(22910,22915) = ( 22910 × 22915) / 5
LCM(22910,22915) = 524982650 / 5
LCM(22910,22915) = 104996530

Least Common Multiple (LCM) of 22910 and 22915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22910 and 22915. First we will calculate the prime factors of 22910 and 22915.

Prime Factorization of 22910

Prime Factorization of 22915

Now multiplying the highest exponent prime factors to calculate the LCM of 22910 and 22915.

LCM(22910,22915) = 2¹ × 5¹ × 29¹ × 79¹ × 4583¹
LCM(22910,22915) = 104996530