What is the Least Common Multiple of 9605 and 9623?

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 9605 and 9623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9605 and 9623, than apply into the LCM equation.

GCF(9605,9623) = 1
LCM(9605,9623) = ( 9605 × 9623) / 1
LCM(9605,9623) = 92428915 / 1
LCM(9605,9623) = 92428915

Least Common Multiple (LCM) of 9605 and 9623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9605 and 9623. First we will calculate the prime factors of 9605 and 9623.

Prime Factorization of 9605

Prime Factorization of 9623

Now multiplying the highest exponent prime factors to calculate the LCM of 9605 and 9623.

LCM(9605,9623) = 5¹ × 17¹ × 113¹ × 9623¹
LCM(9605,9623) = 92428915