What is the Least Common Multiple of 11691 and 11706?

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 11691 and 11706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11691 and 11706, than apply into the LCM equation.

GCF(11691,11706) = 3
LCM(11691,11706) = ( 11691 × 11706) / 3
LCM(11691,11706) = 136854846 / 3
LCM(11691,11706) = 45618282

Least Common Multiple (LCM) of 11691 and 11706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11691 and 11706. First we will calculate the prime factors of 11691 and 11706.

Prime Factorization of 11691

Prime Factorization of 11706

Now multiplying the highest exponent prime factors to calculate the LCM of 11691 and 11706.

LCM(11691,11706) = 3³ × 433¹ × 2¹ × 1951¹
LCM(11691,11706) = 45618282