What is the Least Common Multiple of 11908 and 11921?

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 11921 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 11921, than apply into the LCM equation.

GCF(11908,11921) = 13
LCM(11908,11921) = ( 11908 × 11921) / 13
LCM(11908,11921) = 141955268 / 13
LCM(11908,11921) = 10919636

Least Common Multiple (LCM) of 11908 and 11921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11908 and 11921. First we will calculate the prime factors of 11908 and 11921.

Prime Factorization of 11908

Prime Factorization of 11921

Now multiplying the highest exponent prime factors to calculate the LCM of 11908 and 11921.

LCM(11908,11921) = 2² × 13¹ × 229¹ × 7¹ × 131¹
LCM(11908,11921) = 10919636