GCF and LCM Calculator Logo

What is the Least Common Multiple of 9640 and 9647?

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 9640 and 9647 is 92997080.

LCM(9640,9647) = 92997080

LCM Calculator and
and

Least Common Multiple of 9640 and 9647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9640 and 9647, than apply into the LCM equation.

GCF(9640,9647) = 1
LCM(9640,9647) = ( 9640 × 9647) / 1
LCM(9640,9647) = 92997080 / 1
LCM(9640,9647) = 92997080

Least Common Multiple (LCM) of 9640 and 9647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9640 and 9647. First we will calculate the prime factors of 9640 and 9647.

Prime Factorization of 9640

Prime factors of 9640 are 2, 5, 241. Prime factorization of 9640 in exponential form is:

9640 = 23 × 51 × 2411

Prime Factorization of 9647

Prime factors of 9647 are 11, 877. Prime factorization of 9647 in exponential form is:

9647 = 111 × 8771

Now multiplying the highest exponent prime factors to calculate the LCM of 9640 and 9647.

LCM(9640,9647) = 23 × 51 × 2411 × 111 × 8771
LCM(9640,9647) = 92997080