What is the Least Common Multiple of 99600 and 99609?

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 99600 and 99609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99600 and 99609, than apply into the LCM equation.

GCF(99600,99609) = 3
LCM(99600,99609) = ( 99600 × 99609) / 3
LCM(99600,99609) = 9921056400 / 3
LCM(99600,99609) = 3307018800

Least Common Multiple (LCM) of 99600 and 99609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99600 and 99609. First we will calculate the prime factors of 99600 and 99609.

Prime Factorization of 99600

Prime Factorization of 99609

Now multiplying the highest exponent prime factors to calculate the LCM of 99600 and 99609.

LCM(99600,99609) = 2⁴ × 3¹ × 5² × 83¹ × 33203¹
LCM(99600,99609) = 3307018800