GCF and LCM Calculator Logo

What is the Least Common Multiple of 9743 and 9755?

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 9755 is 95042965.

LCM(9743,9755) = 95042965

LCM Calculator and
and

Least Common Multiple of 9743 and 9755 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 9755, than apply into the LCM equation.

GCF(9743,9755) = 1
LCM(9743,9755) = ( 9743 × 9755) / 1
LCM(9743,9755) = 95042965 / 1
LCM(9743,9755) = 95042965

Least Common Multiple (LCM) of 9743 and 9755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9743 and 9755. First we will calculate the prime factors of 9743 and 9755.

Prime Factorization of 9743

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

9743 = 97431

Prime Factorization of 9755

Prime factors of 9755 are 5, 1951. Prime factorization of 9755 in exponential form is:

9755 = 51 × 19511

Now multiplying the highest exponent prime factors to calculate the LCM of 9743 and 9755.

LCM(9743,9755) = 97431 × 51 × 19511
LCM(9743,9755) = 95042965