What is the Least Common Multiple of 11918 and 11936?

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 11918 and 11936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11918 and 11936, than apply into the LCM equation.

GCF(11918,11936) = 2
LCM(11918,11936) = ( 11918 × 11936) / 2
LCM(11918,11936) = 142253248 / 2
LCM(11918,11936) = 71126624

Least Common Multiple (LCM) of 11918 and 11936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11918 and 11936. First we will calculate the prime factors of 11918 and 11936.

Prime Factorization of 11918

Prime Factorization of 11936

Now multiplying the highest exponent prime factors to calculate the LCM of 11918 and 11936.

LCM(11918,11936) = 2⁵ × 59¹ × 101¹ × 373¹
LCM(11918,11936) = 71126624