What is the Least Common Multiple of 59120 and 59136?

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 59136 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 59136, than apply into the LCM equation.

GCF(59120,59136) = 16
LCM(59120,59136) = ( 59120 × 59136) / 16
LCM(59120,59136) = 3496120320 / 16
LCM(59120,59136) = 218507520

Least Common Multiple (LCM) of 59120 and 59136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59120 and 59136. First we will calculate the prime factors of 59120 and 59136.

Prime Factorization of 59120

Prime Factorization of 59136

Now multiplying the highest exponent prime factors to calculate the LCM of 59120 and 59136.

LCM(59120,59136) = 2⁸ × 5¹ × 739¹ × 3¹ × 7¹ × 11¹
LCM(59120,59136) = 218507520