What is the Least Common Multiple of 8640 and 8650?

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 8640 and 8650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8640 and 8650, than apply into the LCM equation.

GCF(8640,8650) = 10
LCM(8640,8650) = ( 8640 × 8650) / 10
LCM(8640,8650) = 74736000 / 10
LCM(8640,8650) = 7473600

Least Common Multiple (LCM) of 8640 and 8650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8640 and 8650. First we will calculate the prime factors of 8640 and 8650.

Prime Factorization of 8640

Prime Factorization of 8650

Now multiplying the highest exponent prime factors to calculate the LCM of 8640 and 8650.

LCM(8640,8650) = 2⁶ × 3³ × 5² × 173¹
LCM(8640,8650) = 7473600