What is the Least Common Multiple of 11596 and 11616?

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 11616 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 11616, than apply into the LCM equation.

GCF(11596,11616) = 4
LCM(11596,11616) = ( 11596 × 11616) / 4
LCM(11596,11616) = 134699136 / 4
LCM(11596,11616) = 33674784

Least Common Multiple (LCM) of 11596 and 11616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11596 and 11616. First we will calculate the prime factors of 11596 and 11616.

Prime Factorization of 11596

Prime Factorization of 11616

Now multiplying the highest exponent prime factors to calculate the LCM of 11596 and 11616.

LCM(11596,11616) = 2⁵ × 13¹ × 223¹ × 3¹ × 11²
LCM(11596,11616) = 33674784