What is the Least Common Multiple of 17240 and 17249?

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 17240 and 17249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17240 and 17249, than apply into the LCM equation.

GCF(17240,17249) = 1
LCM(17240,17249) = ( 17240 × 17249) / 1
LCM(17240,17249) = 297372760 / 1
LCM(17240,17249) = 297372760

Least Common Multiple (LCM) of 17240 and 17249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17240 and 17249. First we will calculate the prime factors of 17240 and 17249.

Prime Factorization of 17240

Prime Factorization of 17249

Now multiplying the highest exponent prime factors to calculate the LCM of 17240 and 17249.

LCM(17240,17249) = 2³ × 5¹ × 431¹ × 47¹ × 367¹
LCM(17240,17249) = 297372760