What is the Least Common Multiple of 9589 and 9607?

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 9589 and 9607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9589 and 9607, than apply into the LCM equation.

GCF(9589,9607) = 1
LCM(9589,9607) = ( 9589 × 9607) / 1
LCM(9589,9607) = 92121523 / 1
LCM(9589,9607) = 92121523

Least Common Multiple (LCM) of 9589 and 9607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9589 and 9607. First we will calculate the prime factors of 9589 and 9607.

Prime Factorization of 9589

Prime Factorization of 9607

Now multiplying the highest exponent prime factors to calculate the LCM of 9589 and 9607.

LCM(9589,9607) = 43¹ × 223¹ × 13¹ × 739¹
LCM(9589,9607) = 92121523