What is the Least Common Multiple of 65600 and 65609?

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 65600 and 65609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65600 and 65609, than apply into the LCM equation.

GCF(65600,65609) = 1
LCM(65600,65609) = ( 65600 × 65609) / 1
LCM(65600,65609) = 4303950400 / 1
LCM(65600,65609) = 4303950400

Least Common Multiple (LCM) of 65600 and 65609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65600 and 65609. First we will calculate the prime factors of 65600 and 65609.

Prime Factorization of 65600

Prime Factorization of 65609

Now multiplying the highest exponent prime factors to calculate the LCM of 65600 and 65609.

LCM(65600,65609) = 2⁶ × 5² × 41¹ × 65609¹
LCM(65600,65609) = 4303950400