What is the Least Common Multiple of 11892 and 11896?

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 11892 and 11896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11892 and 11896, than apply into the LCM equation.

GCF(11892,11896) = 4
LCM(11892,11896) = ( 11892 × 11896) / 4
LCM(11892,11896) = 141467232 / 4
LCM(11892,11896) = 35366808

Least Common Multiple (LCM) of 11892 and 11896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11892 and 11896. First we will calculate the prime factors of 11892 and 11896.

Prime Factorization of 11892

Prime Factorization of 11896

Now multiplying the highest exponent prime factors to calculate the LCM of 11892 and 11896.

LCM(11892,11896) = 2³ × 3¹ × 991¹ × 1487¹
LCM(11892,11896) = 35366808