What is the Least Common Multiple of 11596 and 11614?

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 11614 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 11614, than apply into the LCM equation.

GCF(11596,11614) = 2
LCM(11596,11614) = ( 11596 × 11614) / 2
LCM(11596,11614) = 134675944 / 2
LCM(11596,11614) = 67337972

Least Common Multiple (LCM) of 11596 and 11614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11596 and 11614. First we will calculate the prime factors of 11596 and 11614.

Prime Factorization of 11596

Prime Factorization of 11614

Now multiplying the highest exponent prime factors to calculate the LCM of 11596 and 11614.

LCM(11596,11614) = 2² × 13¹ × 223¹ × 5807¹
LCM(11596,11614) = 67337972