What is the Least Common Multiple of 98813 and 98829?

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 98813 and 98829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98813 and 98829, than apply into the LCM equation.

GCF(98813,98829) = 1
LCM(98813,98829) = ( 98813 × 98829) / 1
LCM(98813,98829) = 9765589977 / 1
LCM(98813,98829) = 9765589977

Least Common Multiple (LCM) of 98813 and 98829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98813 and 98829. First we will calculate the prime factors of 98813 and 98829.

Prime Factorization of 98813

Prime Factorization of 98829

Now multiplying the highest exponent prime factors to calculate the LCM of 98813 and 98829.

LCM(98813,98829) = 11¹ × 13¹ × 691¹ × 3² × 79¹ × 139¹
LCM(98813,98829) = 9765589977