What is the Least Common Multiple of 98838 and 98857?

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 98838 and 98857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98838 and 98857, than apply into the LCM equation.

GCF(98838,98857) = 19
LCM(98838,98857) = ( 98838 × 98857) / 19
LCM(98838,98857) = 9770828166 / 19
LCM(98838,98857) = 514254114

Least Common Multiple (LCM) of 98838 and 98857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98838 and 98857. First we will calculate the prime factors of 98838 and 98857.

Prime Factorization of 98838

Prime Factorization of 98857

Now multiplying the highest exponent prime factors to calculate the LCM of 98838 and 98857.

LCM(98838,98857) = 2¹ × 3² × 17² × 19¹ × 11² × 43¹
LCM(98838,98857) = 514254114