What is the Least Common Multiple of 37585 and 37598?

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 37585 and 37598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37585 and 37598, than apply into the LCM equation.

GCF(37585,37598) = 1
LCM(37585,37598) = ( 37585 × 37598) / 1
LCM(37585,37598) = 1413120830 / 1
LCM(37585,37598) = 1413120830

Least Common Multiple (LCM) of 37585 and 37598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37585 and 37598. First we will calculate the prime factors of 37585 and 37598.

Prime Factorization of 37585

Prime Factorization of 37598

Now multiplying the highest exponent prime factors to calculate the LCM of 37585 and 37598.

LCM(37585,37598) = 5¹ × 7517¹ × 2¹ × 11¹ × 1709¹
LCM(37585,37598) = 1413120830