What is the Least Common Multiple of 66589 and 66609?

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 66589 and 66609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66589 and 66609, than apply into the LCM equation.

GCF(66589,66609) = 1
LCM(66589,66609) = ( 66589 × 66609) / 1
LCM(66589,66609) = 4435426701 / 1
LCM(66589,66609) = 4435426701

Least Common Multiple (LCM) of 66589 and 66609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66589 and 66609. First we will calculate the prime factors of 66589 and 66609.

Prime Factorization of 66589

Prime Factorization of 66609

Now multiplying the highest exponent prime factors to calculate the LCM of 66589 and 66609.

LCM(66589,66609) = 17¹ × 3917¹ × 3³ × 2467¹
LCM(66589,66609) = 4435426701