What is the Least Common Multiple of 89500 and 89515?

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 89500 and 89515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89500 and 89515, than apply into the LCM equation.

GCF(89500,89515) = 5
LCM(89500,89515) = ( 89500 × 89515) / 5
LCM(89500,89515) = 8011592500 / 5
LCM(89500,89515) = 1602318500

Least Common Multiple (LCM) of 89500 and 89515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89500 and 89515. First we will calculate the prime factors of 89500 and 89515.

Prime Factorization of 89500

Prime Factorization of 89515

Now multiplying the highest exponent prime factors to calculate the LCM of 89500 and 89515.

LCM(89500,89515) = 2² × 5³ × 179¹ × 17903¹
LCM(89500,89515) = 1602318500