What is the Least Common Multiple of 98983 and 98993?

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 98983 and 98993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98983 and 98993, than apply into the LCM equation.

GCF(98983,98993) = 1
LCM(98983,98993) = ( 98983 × 98993) / 1
LCM(98983,98993) = 9798624119 / 1
LCM(98983,98993) = 9798624119

Least Common Multiple (LCM) of 98983 and 98993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98983 and 98993. First we will calculate the prime factors of 98983 and 98993.

Prime Factorization of 98983

Prime Factorization of 98993

Now multiplying the highest exponent prime factors to calculate the LCM of 98983 and 98993.

LCM(98983,98993) = 31² × 103¹ × 98993¹
LCM(98983,98993) = 9798624119