What is the Least Common Multiple of 98838 and 98856?

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 98856 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 98856, than apply into the LCM equation.

GCF(98838,98856) = 18
LCM(98838,98856) = ( 98838 × 98856) / 18
LCM(98838,98856) = 9770729328 / 18
LCM(98838,98856) = 542818296

Least Common Multiple (LCM) of 98838 and 98856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98838 and 98856. First we will calculate the prime factors of 98838 and 98856.

Prime Factorization of 98838

Prime Factorization of 98856

Now multiplying the highest exponent prime factors to calculate the LCM of 98838 and 98856.

LCM(98838,98856) = 2³ × 3² × 17² × 19¹ × 1373¹
LCM(98838,98856) = 542818296