What is the Least Common Multiple of 9630 and 9635?

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 9630 and 9635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9630 and 9635, than apply into the LCM equation.

GCF(9630,9635) = 5
LCM(9630,9635) = ( 9630 × 9635) / 5
LCM(9630,9635) = 92785050 / 5
LCM(9630,9635) = 18557010

Least Common Multiple (LCM) of 9630 and 9635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9630 and 9635. First we will calculate the prime factors of 9630 and 9635.

Prime Factorization of 9630

Prime Factorization of 9635

Now multiplying the highest exponent prime factors to calculate the LCM of 9630 and 9635.

LCM(9630,9635) = 2¹ × 3² × 5¹ × 107¹ × 41¹ × 47¹
LCM(9630,9635) = 18557010