What is the Least Common Multiple of 98431 and 98449?

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 98431 and 98449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98431 and 98449, than apply into the LCM equation.

GCF(98431,98449) = 1
LCM(98431,98449) = ( 98431 × 98449) / 1
LCM(98431,98449) = 9690433519 / 1
LCM(98431,98449) = 9690433519

Least Common Multiple (LCM) of 98431 and 98449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98431 and 98449. First we will calculate the prime factors of 98431 and 98449.

Prime Factorization of 98431

Prime Factorization of 98449

Now multiplying the highest exponent prime factors to calculate the LCM of 98431 and 98449.

LCM(98431,98449) = 257¹ × 383¹ × 13¹ × 7573¹
LCM(98431,98449) = 9690433519