What is the Least Common Multiple of 98819 and 98838?

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 98819 and 98838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98819 and 98838, than apply into the LCM equation.

GCF(98819,98838) = 19
LCM(98819,98838) = ( 98819 × 98838) / 19
LCM(98819,98838) = 9767072322 / 19
LCM(98819,98838) = 514056438

Least Common Multiple (LCM) of 98819 and 98838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98819 and 98838. First we will calculate the prime factors of 98819 and 98838.

Prime Factorization of 98819

Prime Factorization of 98838

Now multiplying the highest exponent prime factors to calculate the LCM of 98819 and 98838.

LCM(98819,98838) = 7¹ × 19¹ × 743¹ × 2¹ × 3² × 17²
LCM(98819,98838) = 514056438