What is the Least Common Multiple of 17398 and 17411?

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 17398 and 17411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17398 and 17411, than apply into the LCM equation.

GCF(17398,17411) = 1
LCM(17398,17411) = ( 17398 × 17411) / 1
LCM(17398,17411) = 302916578 / 1
LCM(17398,17411) = 302916578

Least Common Multiple (LCM) of 17398 and 17411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17398 and 17411. First we will calculate the prime factors of 17398 and 17411.

Prime Factorization of 17398

Prime Factorization of 17411

Now multiplying the highest exponent prime factors to calculate the LCM of 17398 and 17411.

LCM(17398,17411) = 2¹ × 8699¹ × 23¹ × 757¹
LCM(17398,17411) = 302916578