What is the Least Common Multiple of 98869 and 98889?

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 98869 and 98889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98869 and 98889, than apply into the LCM equation.

GCF(98869,98889) = 1
LCM(98869,98889) = ( 98869 × 98889) / 1
LCM(98869,98889) = 9777056541 / 1
LCM(98869,98889) = 9777056541

Least Common Multiple (LCM) of 98869 and 98889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98869 and 98889. First we will calculate the prime factors of 98869 and 98889.

Prime Factorization of 98869

Prime Factorization of 98889

Now multiplying the highest exponent prime factors to calculate the LCM of 98869 and 98889.

LCM(98869,98889) = 98869¹ × 3¹ × 7¹ × 17¹ × 277¹
LCM(98869,98889) = 9777056541