What is the Least Common Multiple of 98057 and 98069?

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 98057 and 98069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98057 and 98069, than apply into the LCM equation.

GCF(98057,98069) = 1
LCM(98057,98069) = ( 98057 × 98069) / 1
LCM(98057,98069) = 9616351933 / 1
LCM(98057,98069) = 9616351933

Least Common Multiple (LCM) of 98057 and 98069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98057 and 98069. First we will calculate the prime factors of 98057 and 98069.

Prime Factorization of 98057

Prime Factorization of 98069

Now multiplying the highest exponent prime factors to calculate the LCM of 98057 and 98069.

LCM(98057,98069) = 98057¹ × 281¹ × 349¹
LCM(98057,98069) = 9616351933