What is the Least Common Multiple of 30600 and 30609?

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 30600 and 30609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30600 and 30609, than apply into the LCM equation.

GCF(30600,30609) = 9
LCM(30600,30609) = ( 30600 × 30609) / 9
LCM(30600,30609) = 936635400 / 9
LCM(30600,30609) = 104070600

Least Common Multiple (LCM) of 30600 and 30609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30600 and 30609. First we will calculate the prime factors of 30600 and 30609.

Prime Factorization of 30600

Prime Factorization of 30609

Now multiplying the highest exponent prime factors to calculate the LCM of 30600 and 30609.

LCM(30600,30609) = 2³ × 3² × 5² × 17¹ × 19¹ × 179¹
LCM(30600,30609) = 104070600