What is the Least Common Multiple of 9645 and 9650?

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 9645 and 9650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9645 and 9650, than apply into the LCM equation.

GCF(9645,9650) = 5
LCM(9645,9650) = ( 9645 × 9650) / 5
LCM(9645,9650) = 93074250 / 5
LCM(9645,9650) = 18614850

Least Common Multiple (LCM) of 9645 and 9650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9645 and 9650. First we will calculate the prime factors of 9645 and 9650.

Prime Factorization of 9645

Prime Factorization of 9650

Now multiplying the highest exponent prime factors to calculate the LCM of 9645 and 9650.

LCM(9645,9650) = 3¹ × 5² × 643¹ × 2¹ × 193¹
LCM(9645,9650) = 18614850