What is the Least Common Multiple of 98069 and 98073?

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 98069 and 98073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98069 and 98073, than apply into the LCM equation.

GCF(98069,98073) = 1
LCM(98069,98073) = ( 98069 × 98073) / 1
LCM(98069,98073) = 9617921037 / 1
LCM(98069,98073) = 9617921037

Least Common Multiple (LCM) of 98069 and 98073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98069 and 98073. First we will calculate the prime factors of 98069 and 98073.

Prime Factorization of 98069

Prime Factorization of 98073

Now multiplying the highest exponent prime factors to calculate the LCM of 98069 and 98073.

LCM(98069,98073) = 281¹ × 349¹ × 3² × 17¹ × 641¹
LCM(98069,98073) = 9617921037