What is the Least Common Multiple of 60589 and 60609?

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 60589 and 60609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60589 and 60609, than apply into the LCM equation.

GCF(60589,60609) = 1
LCM(60589,60609) = ( 60589 × 60609) / 1
LCM(60589,60609) = 3672238701 / 1
LCM(60589,60609) = 3672238701

Least Common Multiple (LCM) of 60589 and 60609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60589 and 60609. First we will calculate the prime factors of 60589 and 60609.

Prime Factorization of 60589

Prime Factorization of 60609

Now multiplying the highest exponent prime factors to calculate the LCM of 60589 and 60609.

LCM(60589,60609) = 60589¹ × 3¹ × 89¹ × 227¹
LCM(60589,60609) = 3672238701