What is the Least Common Multiple of 3600 and 3609?

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 3600 and 3609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3600 and 3609, than apply into the LCM equation.

GCF(3600,3609) = 9
LCM(3600,3609) = ( 3600 × 3609) / 9
LCM(3600,3609) = 12992400 / 9
LCM(3600,3609) = 1443600

Least Common Multiple (LCM) of 3600 and 3609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3600 and 3609. First we will calculate the prime factors of 3600 and 3609.

Prime Factorization of 3600

Prime Factorization of 3609

Now multiplying the highest exponent prime factors to calculate the LCM of 3600 and 3609.

LCM(3600,3609) = 2⁴ × 3² × 5² × 401¹
LCM(3600,3609) = 1443600