What is the Least Common Multiple of 14112 and 14117?

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 14112 and 14117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14112 and 14117, than apply into the LCM equation.

GCF(14112,14117) = 1
LCM(14112,14117) = ( 14112 × 14117) / 1
LCM(14112,14117) = 199219104 / 1
LCM(14112,14117) = 199219104

Least Common Multiple (LCM) of 14112 and 14117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14112 and 14117. First we will calculate the prime factors of 14112 and 14117.

Prime Factorization of 14112

Prime Factorization of 14117

Now multiplying the highest exponent prime factors to calculate the LCM of 14112 and 14117.

LCM(14112,14117) = 2⁵ × 3² × 7² × 19¹ × 743¹
LCM(14112,14117) = 199219104