GCF and LCM Calculator Logo

What is the Least Common Multiple of 9743 and 9749?

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 9743 and 9749 is 94984507.

LCM(9743,9749) = 94984507

LCM Calculator and
and

Least Common Multiple of 9743 and 9749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9743 and 9749, than apply into the LCM equation.

GCF(9743,9749) = 1
LCM(9743,9749) = ( 9743 × 9749) / 1
LCM(9743,9749) = 94984507 / 1
LCM(9743,9749) = 94984507

Least Common Multiple (LCM) of 9743 and 9749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9743 and 9749. First we will calculate the prime factors of 9743 and 9749.

Prime Factorization of 9743

Prime factors of 9743 are 9743. Prime factorization of 9743 in exponential form is:

9743 = 97431

Prime Factorization of 9749

Prime factors of 9749 are 9749. Prime factorization of 9749 in exponential form is:

9749 = 97491

Now multiplying the highest exponent prime factors to calculate the LCM of 9743 and 9749.

LCM(9743,9749) = 97431 × 97491
LCM(9743,9749) = 94984507