What is the Least Common Multiple of 11906 and 11926?

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 11906 and 11926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11906 and 11926, than apply into the LCM equation.

GCF(11906,11926) = 2
LCM(11906,11926) = ( 11906 × 11926) / 2
LCM(11906,11926) = 141990956 / 2
LCM(11906,11926) = 70995478

Least Common Multiple (LCM) of 11906 and 11926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11906 and 11926. First we will calculate the prime factors of 11906 and 11926.

Prime Factorization of 11906

Prime Factorization of 11926

Now multiplying the highest exponent prime factors to calculate the LCM of 11906 and 11926.

LCM(11906,11926) = 2¹ × 5953¹ × 67¹ × 89¹
LCM(11906,11926) = 70995478