What is the Least Common Multiple of 19600 and 19609?

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 19600 and 19609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19600 and 19609, than apply into the LCM equation.

GCF(19600,19609) = 1
LCM(19600,19609) = ( 19600 × 19609) / 1
LCM(19600,19609) = 384336400 / 1
LCM(19600,19609) = 384336400

Least Common Multiple (LCM) of 19600 and 19609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19600 and 19609. First we will calculate the prime factors of 19600 and 19609.

Prime Factorization of 19600

Prime Factorization of 19609

Now multiplying the highest exponent prime factors to calculate the LCM of 19600 and 19609.

LCM(19600,19609) = 2⁴ × 5² × 7² × 19609¹
LCM(19600,19609) = 384336400