What is the Least Common Multiple of 14404 and 14417?

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 14404 and 14417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14404 and 14417, than apply into the LCM equation.

GCF(14404,14417) = 13
LCM(14404,14417) = ( 14404 × 14417) / 13
LCM(14404,14417) = 207662468 / 13
LCM(14404,14417) = 15974036

Least Common Multiple (LCM) of 14404 and 14417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14404 and 14417. First we will calculate the prime factors of 14404 and 14417.

Prime Factorization of 14404

Prime Factorization of 14417

Now multiplying the highest exponent prime factors to calculate the LCM of 14404 and 14417.

LCM(14404,14417) = 2² × 13¹ × 277¹ × 1109¹
LCM(14404,14417) = 15974036