GCF and LCM Calculator Logo

What is the Least Common Multiple of 9709 and 9713?

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 9709 and 9713 is 94303517.

LCM(9709,9713) = 94303517

LCM Calculator and
and

Least Common Multiple of 9709 and 9713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9709 and 9713, than apply into the LCM equation.

GCF(9709,9713) = 1
LCM(9709,9713) = ( 9709 × 9713) / 1
LCM(9709,9713) = 94303517 / 1
LCM(9709,9713) = 94303517

Least Common Multiple (LCM) of 9709 and 9713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9709 and 9713. First we will calculate the prime factors of 9709 and 9713.

Prime Factorization of 9709

Prime factors of 9709 are 7, 19, 73. Prime factorization of 9709 in exponential form is:

9709 = 71 × 191 × 731

Prime Factorization of 9713

Prime factors of 9713 are 11, 883. Prime factorization of 9713 in exponential form is:

9713 = 111 × 8831

Now multiplying the highest exponent prime factors to calculate the LCM of 9709 and 9713.

LCM(9709,9713) = 71 × 191 × 731 × 111 × 8831
LCM(9709,9713) = 94303517