What is the Least Common Multiple of 7585 and 7598?

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 7585 and 7598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7585 and 7598, than apply into the LCM equation.

GCF(7585,7598) = 1
LCM(7585,7598) = ( 7585 × 7598) / 1
LCM(7585,7598) = 57630830 / 1
LCM(7585,7598) = 57630830

Least Common Multiple (LCM) of 7585 and 7598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7585 and 7598. First we will calculate the prime factors of 7585 and 7598.

Prime Factorization of 7585

Prime Factorization of 7598

Now multiplying the highest exponent prime factors to calculate the LCM of 7585 and 7598.

LCM(7585,7598) = 5¹ × 37¹ × 41¹ × 2¹ × 29¹ × 131¹
LCM(7585,7598) = 57630830