What is the Least Common Multiple of 17243 and 17259?

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 17243 and 17259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17243 and 17259, than apply into the LCM equation.

GCF(17243,17259) = 1
LCM(17243,17259) = ( 17243 × 17259) / 1
LCM(17243,17259) = 297596937 / 1
LCM(17243,17259) = 297596937

Least Common Multiple (LCM) of 17243 and 17259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17243 and 17259. First we will calculate the prime factors of 17243 and 17259.

Prime Factorization of 17243

Prime Factorization of 17259

Now multiplying the highest exponent prime factors to calculate the LCM of 17243 and 17259.

LCM(17243,17259) = 43¹ × 401¹ × 3¹ × 11¹ × 523¹
LCM(17243,17259) = 297596937