What is the Least Common Multiple of 98931 and 98946?

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 98931 and 98946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98931 and 98946, than apply into the LCM equation.

GCF(98931,98946) = 3
LCM(98931,98946) = ( 98931 × 98946) / 3
LCM(98931,98946) = 9788826726 / 3
LCM(98931,98946) = 3262942242

Least Common Multiple (LCM) of 98931 and 98946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98931 and 98946. First we will calculate the prime factors of 98931 and 98946.

Prime Factorization of 98931

Prime Factorization of 98946

Now multiplying the highest exponent prime factors to calculate the LCM of 98931 and 98946.

LCM(98931,98946) = 3² × 7² × 673¹ × 2¹ × 23¹ × 239¹
LCM(98931,98946) = 3262942242