What is the Least Common Multiple of 55594 and 55609?

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 55594 and 55609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55594 and 55609, than apply into the LCM equation.

GCF(55594,55609) = 1
LCM(55594,55609) = ( 55594 × 55609) / 1
LCM(55594,55609) = 3091526746 / 1
LCM(55594,55609) = 3091526746

Least Common Multiple (LCM) of 55594 and 55609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55594 and 55609. First we will calculate the prime factors of 55594 and 55609.

Prime Factorization of 55594

Prime Factorization of 55609

Now multiplying the highest exponent prime factors to calculate the LCM of 55594 and 55609.

LCM(55594,55609) = 2¹ × 7¹ × 11¹ × 19² × 55609¹
LCM(55594,55609) = 3091526746