What is the Least Common Multiple of 11896 and 11911?

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 11896 and 11911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11896 and 11911, than apply into the LCM equation.

GCF(11896,11911) = 1
LCM(11896,11911) = ( 11896 × 11911) / 1
LCM(11896,11911) = 141693256 / 1
LCM(11896,11911) = 141693256

Least Common Multiple (LCM) of 11896 and 11911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11896 and 11911. First we will calculate the prime factors of 11896 and 11911.

Prime Factorization of 11896

Prime Factorization of 11911

Now multiplying the highest exponent prime factors to calculate the LCM of 11896 and 11911.

LCM(11896,11911) = 2³ × 1487¹ × 43¹ × 277¹
LCM(11896,11911) = 141693256