What is the Least Common Multiple of 36600 and 36609?

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 36600 and 36609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36600 and 36609, than apply into the LCM equation.

GCF(36600,36609) = 3
LCM(36600,36609) = ( 36600 × 36609) / 3
LCM(36600,36609) = 1339889400 / 3
LCM(36600,36609) = 446629800

Least Common Multiple (LCM) of 36600 and 36609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36600 and 36609. First we will calculate the prime factors of 36600 and 36609.

Prime Factorization of 36600

Prime Factorization of 36609

Now multiplying the highest exponent prime factors to calculate the LCM of 36600 and 36609.

LCM(36600,36609) = 2³ × 3¹ × 5² × 61¹ × 12203¹
LCM(36600,36609) = 446629800