What is the Least Common Multiple of 11908 and 11918?

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 11908 and 11918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11908 and 11918, than apply into the LCM equation.

GCF(11908,11918) = 2
LCM(11908,11918) = ( 11908 × 11918) / 2
LCM(11908,11918) = 141919544 / 2
LCM(11908,11918) = 70959772

Least Common Multiple (LCM) of 11908 and 11918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11908 and 11918. First we will calculate the prime factors of 11908 and 11918.

Prime Factorization of 11908

Prime Factorization of 11918

Now multiplying the highest exponent prime factors to calculate the LCM of 11908 and 11918.

LCM(11908,11918) = 2² × 13¹ × 229¹ × 59¹ × 101¹
LCM(11908,11918) = 70959772