What is the Least Common Multiple of 59120 and 59130?

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 59120 and 59130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59120 and 59130, than apply into the LCM equation.

GCF(59120,59130) = 10
LCM(59120,59130) = ( 59120 × 59130) / 10
LCM(59120,59130) = 3495765600 / 10
LCM(59120,59130) = 349576560

Least Common Multiple (LCM) of 59120 and 59130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59120 and 59130. First we will calculate the prime factors of 59120 and 59130.

Prime Factorization of 59120

Prime Factorization of 59130

Now multiplying the highest exponent prime factors to calculate the LCM of 59120 and 59130.

LCM(59120,59130) = 2⁴ × 5¹ × 739¹ × 3⁴ × 73¹
LCM(59120,59130) = 349576560