What is the Least Common Multiple of 17232 and 17243?

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 17232 and 17243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17232 and 17243, than apply into the LCM equation.

GCF(17232,17243) = 1
LCM(17232,17243) = ( 17232 × 17243) / 1
LCM(17232,17243) = 297131376 / 1
LCM(17232,17243) = 297131376

Least Common Multiple (LCM) of 17232 and 17243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17232 and 17243. First we will calculate the prime factors of 17232 and 17243.

Prime Factorization of 17232

Prime Factorization of 17243

Now multiplying the highest exponent prime factors to calculate the LCM of 17232 and 17243.

LCM(17232,17243) = 2⁴ × 3¹ × 359¹ × 43¹ × 401¹
LCM(17232,17243) = 297131376