GCF and LCM Calculator Logo

What is the Least Common Multiple of 8639 and 8644?

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 8639 and 8644 is 74675516.

LCM(8639,8644) = 74675516

LCM Calculator and
and

Least Common Multiple of 8639 and 8644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8639 and 8644, than apply into the LCM equation.

GCF(8639,8644) = 1
LCM(8639,8644) = ( 8639 × 8644) / 1
LCM(8639,8644) = 74675516 / 1
LCM(8639,8644) = 74675516

Least Common Multiple (LCM) of 8639 and 8644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8639 and 8644. First we will calculate the prime factors of 8639 and 8644.

Prime Factorization of 8639

Prime factors of 8639 are 53, 163. Prime factorization of 8639 in exponential form is:

8639 = 531 × 1631

Prime Factorization of 8644

Prime factors of 8644 are 2, 2161. Prime factorization of 8644 in exponential form is:

8644 = 22 × 21611

Now multiplying the highest exponent prime factors to calculate the LCM of 8639 and 8644.

LCM(8639,8644) = 531 × 1631 × 22 × 21611
LCM(8639,8644) = 74675516