What is the Least Common Multiple of 8096 and 8109?

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 8096 and 8109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8096 and 8109, than apply into the LCM equation.

GCF(8096,8109) = 1
LCM(8096,8109) = ( 8096 × 8109) / 1
LCM(8096,8109) = 65650464 / 1
LCM(8096,8109) = 65650464

Least Common Multiple (LCM) of 8096 and 8109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8096 and 8109. First we will calculate the prime factors of 8096 and 8109.

Prime Factorization of 8096

Prime Factorization of 8109

Now multiplying the highest exponent prime factors to calculate the LCM of 8096 and 8109.

LCM(8096,8109) = 2⁵ × 11¹ × 23¹ × 3² × 17¹ × 53¹
LCM(8096,8109) = 65650464