What is the Least Common Multiple of 50289 and 50298?

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 50289 and 50298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50289 and 50298, than apply into the LCM equation.

GCF(50289,50298) = 3
LCM(50289,50298) = ( 50289 × 50298) / 3
LCM(50289,50298) = 2529436122 / 3
LCM(50289,50298) = 843145374

Least Common Multiple (LCM) of 50289 and 50298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50289 and 50298. First we will calculate the prime factors of 50289 and 50298.

Prime Factorization of 50289

Prime Factorization of 50298

Now multiplying the highest exponent prime factors to calculate the LCM of 50289 and 50298.

LCM(50289,50298) = 3¹ × 16763¹ × 2¹ × 83¹ × 101¹
LCM(50289,50298) = 843145374