What is the Least Common Multiple of 11589 and 11607?

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 11589 and 11607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11589 and 11607, than apply into the LCM equation.

GCF(11589,11607) = 3
LCM(11589,11607) = ( 11589 × 11607) / 3
LCM(11589,11607) = 134513523 / 3
LCM(11589,11607) = 44837841

Least Common Multiple (LCM) of 11589 and 11607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11589 and 11607. First we will calculate the prime factors of 11589 and 11607.

Prime Factorization of 11589

Prime Factorization of 11607

Now multiplying the highest exponent prime factors to calculate the LCM of 11589 and 11607.

LCM(11589,11607) = 3¹ × 3863¹ × 53¹ × 73¹
LCM(11589,11607) = 44837841