What is the Least Common Multiple of 14917 and 14936?

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 14917 and 14936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14917 and 14936, than apply into the LCM equation.

GCF(14917,14936) = 1
LCM(14917,14936) = ( 14917 × 14936) / 1
LCM(14917,14936) = 222800312 / 1
LCM(14917,14936) = 222800312

Least Common Multiple (LCM) of 14917 and 14936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14917 and 14936. First we will calculate the prime factors of 14917 and 14936.

Prime Factorization of 14917

Prime Factorization of 14936

Now multiplying the highest exponent prime factors to calculate the LCM of 14917 and 14936.

LCM(14917,14936) = 7¹ × 2131¹ × 2³ × 1867¹
LCM(14917,14936) = 222800312