What is the Least Common Multiple of 98428 and 98442?

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 98428 and 98442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98428 and 98442, than apply into the LCM equation.

GCF(98428,98442) = 2
LCM(98428,98442) = ( 98428 × 98442) / 2
LCM(98428,98442) = 9689449176 / 2
LCM(98428,98442) = 4844724588

Least Common Multiple (LCM) of 98428 and 98442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98428 and 98442. First we will calculate the prime factors of 98428 and 98442.

Prime Factorization of 98428

Prime Factorization of 98442

Now multiplying the highest exponent prime factors to calculate the LCM of 98428 and 98442.

LCM(98428,98442) = 2² × 11¹ × 2237¹ × 3³ × 1823¹
LCM(98428,98442) = 4844724588