What is the Least Common Multiple of 14114 and 14122?

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 14114 and 14122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14114 and 14122, than apply into the LCM equation.

GCF(14114,14122) = 2
LCM(14114,14122) = ( 14114 × 14122) / 2
LCM(14114,14122) = 199317908 / 2
LCM(14114,14122) = 99658954

Least Common Multiple (LCM) of 14114 and 14122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14114 and 14122. First we will calculate the prime factors of 14114 and 14122.

Prime Factorization of 14114

Prime Factorization of 14122

Now multiplying the highest exponent prime factors to calculate the LCM of 14114 and 14122.

LCM(14114,14122) = 2¹ × 7057¹ × 23¹ × 307¹
LCM(14114,14122) = 99658954