What is the Least Common Multiple of 98346 and 98353?

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 98346 and 98353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98346 and 98353, than apply into the LCM equation.

GCF(98346,98353) = 1
LCM(98346,98353) = ( 98346 × 98353) / 1
LCM(98346,98353) = 9672624138 / 1
LCM(98346,98353) = 9672624138

Least Common Multiple (LCM) of 98346 and 98353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98346 and 98353. First we will calculate the prime factors of 98346 and 98353.

Prime Factorization of 98346

Prime Factorization of 98353

Now multiplying the highest exponent prime factors to calculate the LCM of 98346 and 98353.

LCM(98346,98353) = 2¹ × 3¹ × 37¹ × 443¹ × 59¹ × 1667¹
LCM(98346,98353) = 9672624138