GCF and LCM Calculator Logo

What is the Least Common Multiple of 9642 and 9655?

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 9642 and 9655 is 93093510.

LCM(9642,9655) = 93093510

LCM Calculator and
and

Least Common Multiple of 9642 and 9655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9642 and 9655, than apply into the LCM equation.

GCF(9642,9655) = 1
LCM(9642,9655) = ( 9642 × 9655) / 1
LCM(9642,9655) = 93093510 / 1
LCM(9642,9655) = 93093510

Least Common Multiple (LCM) of 9642 and 9655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9642 and 9655. First we will calculate the prime factors of 9642 and 9655.

Prime Factorization of 9642

Prime factors of 9642 are 2, 3, 1607. Prime factorization of 9642 in exponential form is:

9642 = 21 × 31 × 16071

Prime Factorization of 9655

Prime factors of 9655 are 5, 1931. Prime factorization of 9655 in exponential form is:

9655 = 51 × 19311

Now multiplying the highest exponent prime factors to calculate the LCM of 9642 and 9655.

LCM(9642,9655) = 21 × 31 × 16071 × 51 × 19311
LCM(9642,9655) = 93093510