What is the Least Common Multiple of 11596 and 11615?

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 11596 and 11615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11596 and 11615, than apply into the LCM equation.

GCF(11596,11615) = 1
LCM(11596,11615) = ( 11596 × 11615) / 1
LCM(11596,11615) = 134687540 / 1
LCM(11596,11615) = 134687540

Least Common Multiple (LCM) of 11596 and 11615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11596 and 11615. First we will calculate the prime factors of 11596 and 11615.

Prime Factorization of 11596

Prime Factorization of 11615

Now multiplying the highest exponent prime factors to calculate the LCM of 11596 and 11615.

LCM(11596,11615) = 2² × 13¹ × 223¹ × 5¹ × 23¹ × 101¹
LCM(11596,11615) = 134687540