What is the Least Common Multiple of 9653 and 9661?

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 9653 and 9661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9653 and 9661, than apply into the LCM equation.

GCF(9653,9661) = 1
LCM(9653,9661) = ( 9653 × 9661) / 1
LCM(9653,9661) = 93257633 / 1
LCM(9653,9661) = 93257633

Least Common Multiple (LCM) of 9653 and 9661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9653 and 9661. First we will calculate the prime factors of 9653 and 9661.

Prime Factorization of 9653

Prime Factorization of 9661

Now multiplying the highest exponent prime factors to calculate the LCM of 9653 and 9661.

LCM(9653,9661) = 7² × 197¹ × 9661¹
LCM(9653,9661) = 93257633