What is the Least Common Multiple of 15120 and 15130?

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 15120 and 15130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15120 and 15130, than apply into the LCM equation.

GCF(15120,15130) = 10
LCM(15120,15130) = ( 15120 × 15130) / 10
LCM(15120,15130) = 228765600 / 10
LCM(15120,15130) = 22876560

Least Common Multiple (LCM) of 15120 and 15130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15120 and 15130. First we will calculate the prime factors of 15120 and 15130.

Prime Factorization of 15120

Prime Factorization of 15130

Now multiplying the highest exponent prime factors to calculate the LCM of 15120 and 15130.

LCM(15120,15130) = 2⁴ × 3³ × 5¹ × 7¹ × 17¹ × 89¹
LCM(15120,15130) = 22876560