What is the Least Common Multiple of 81594 and 81609?

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 81594 and 81609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81594 and 81609, than apply into the LCM equation.

GCF(81594,81609) = 3
LCM(81594,81609) = ( 81594 × 81609) / 3
LCM(81594,81609) = 6658804746 / 3
LCM(81594,81609) = 2219601582

Least Common Multiple (LCM) of 81594 and 81609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81594 and 81609. First we will calculate the prime factors of 81594 and 81609.

Prime Factorization of 81594

Prime Factorization of 81609

Now multiplying the highest exponent prime factors to calculate the LCM of 81594 and 81609.

LCM(81594,81609) = 2¹ × 3³ × 1511¹ × 11¹ × 2473¹
LCM(81594,81609) = 2219601582