What is the Least Common Multiple of 53589 and 53609?

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 53589 and 53609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53589 and 53609, than apply into the LCM equation.

GCF(53589,53609) = 1
LCM(53589,53609) = ( 53589 × 53609) / 1
LCM(53589,53609) = 2872852701 / 1
LCM(53589,53609) = 2872852701

Least Common Multiple (LCM) of 53589 and 53609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53589 and 53609. First we will calculate the prime factors of 53589 and 53609.

Prime Factorization of 53589

Prime Factorization of 53609

Now multiplying the highest exponent prime factors to calculate the LCM of 53589 and 53609.

LCM(53589,53609) = 3¹ × 17863¹ × 53609¹
LCM(53589,53609) = 2872852701