What is the Least Common Multiple of 14912 and 14917?

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 14912 and 14917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14912 and 14917, than apply into the LCM equation.

GCF(14912,14917) = 1
LCM(14912,14917) = ( 14912 × 14917) / 1
LCM(14912,14917) = 222442304 / 1
LCM(14912,14917) = 222442304

Least Common Multiple (LCM) of 14912 and 14917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14912 and 14917. First we will calculate the prime factors of 14912 and 14917.

Prime Factorization of 14912

Prime Factorization of 14917

Now multiplying the highest exponent prime factors to calculate the LCM of 14912 and 14917.

LCM(14912,14917) = 2⁶ × 233¹ × 7¹ × 2131¹
LCM(14912,14917) = 222442304