What is the Least Common Multiple of 9646 and 9653?

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 9646 and 9653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9646 and 9653, than apply into the LCM equation.

GCF(9646,9653) = 7
LCM(9646,9653) = ( 9646 × 9653) / 7
LCM(9646,9653) = 93112838 / 7
LCM(9646,9653) = 13301834

Least Common Multiple (LCM) of 9646 and 9653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9646 and 9653. First we will calculate the prime factors of 9646 and 9653.

Prime Factorization of 9646

Prime Factorization of 9653

Now multiplying the highest exponent prime factors to calculate the LCM of 9646 and 9653.

LCM(9646,9653) = 2¹ × 7² × 13¹ × 53¹ × 197¹
LCM(9646,9653) = 13301834