What is the Least Common Multiple of 14464 and 14473?

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 14464 and 14473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14464 and 14473, than apply into the LCM equation.

GCF(14464,14473) = 1
LCM(14464,14473) = ( 14464 × 14473) / 1
LCM(14464,14473) = 209337472 / 1
LCM(14464,14473) = 209337472

Least Common Multiple (LCM) of 14464 and 14473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14464 and 14473. First we will calculate the prime factors of 14464 and 14473.

Prime Factorization of 14464

Prime Factorization of 14473

Now multiplying the highest exponent prime factors to calculate the LCM of 14464 and 14473.

LCM(14464,14473) = 2⁷ × 113¹ × 41¹ × 353¹
LCM(14464,14473) = 209337472