What is the Least Common Multiple of 17448 and 17453?

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 17448 and 17453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17448 and 17453, than apply into the LCM equation.

GCF(17448,17453) = 1
LCM(17448,17453) = ( 17448 × 17453) / 1
LCM(17448,17453) = 304519944 / 1
LCM(17448,17453) = 304519944

Least Common Multiple (LCM) of 17448 and 17453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17448 and 17453. First we will calculate the prime factors of 17448 and 17453.

Prime Factorization of 17448

Prime Factorization of 17453

Now multiplying the highest exponent prime factors to calculate the LCM of 17448 and 17453.

LCM(17448,17453) = 2³ × 3¹ × 727¹ × 31¹ × 563¹
LCM(17448,17453) = 304519944