What is the Least Common Multiple of 8609 and 8613?

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 of 8609 and 8613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8609 and 8613, than apply into the LCM equation.

GCF(8609,8613) = 1
LCM(8609,8613) = ( 8609 × 8613) / 1
LCM(8609,8613) = 74149317 / 1
LCM(8609,8613) = 74149317

Least Common Multiple (LCM) of 8609 and 8613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8609 and 8613. First we will calculate the prime factors of 8609 and 8613.

Prime Factorization of 8609

Prime Factorization of 8613

Now multiplying the highest exponent prime factors to calculate the LCM of 8609 and 8613.

LCM(8609,8613) = 8609¹ × 3³ × 11¹ × 29¹
LCM(8609,8613) = 74149317