GCF and LCM Calculator Logo

What is the Least Common Multiple of 9653 and 9658?

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 (LCM) of 9653 and 9658 is 93228674.

LCM(9653,9658) = 93228674

LCM Calculator and
and

Least Common Multiple of 9653 and 9658 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 9658, than apply into the LCM equation.

GCF(9653,9658) = 1
LCM(9653,9658) = ( 9653 × 9658) / 1
LCM(9653,9658) = 93228674 / 1
LCM(9653,9658) = 93228674

Least Common Multiple (LCM) of 9653 and 9658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9653 and 9658. First we will calculate the prime factors of 9653 and 9658.

Prime Factorization of 9653

Prime factors of 9653 are 7, 197. Prime factorization of 9653 in exponential form is:

9653 = 72 × 1971

Prime Factorization of 9658

Prime factors of 9658 are 2, 11, 439. Prime factorization of 9658 in exponential form is:

9658 = 21 × 111 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 9653 and 9658.

LCM(9653,9658) = 72 × 1971 × 21 × 111 × 4391
LCM(9653,9658) = 93228674