What is the Least Common Multiple of 98343 and 98355?

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 98343 and 98355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98343 and 98355, than apply into the LCM equation.

GCF(98343,98355) = 3
LCM(98343,98355) = ( 98343 × 98355) / 3
LCM(98343,98355) = 9672525765 / 3
LCM(98343,98355) = 3224175255

Least Common Multiple (LCM) of 98343 and 98355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98343 and 98355. First we will calculate the prime factors of 98343 and 98355.

Prime Factorization of 98343

Prime Factorization of 98355

Now multiplying the highest exponent prime factors to calculate the LCM of 98343 and 98355.

LCM(98343,98355) = 3² × 7² × 223¹ × 5¹ × 79¹ × 83¹
LCM(98343,98355) = 3224175255