What is the Least Common Multiple of 98673 and 98691?

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 98673 and 98691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98673 and 98691, than apply into the LCM equation.

GCF(98673,98691) = 3
LCM(98673,98691) = ( 98673 × 98691) / 3
LCM(98673,98691) = 9738137043 / 3
LCM(98673,98691) = 3246045681

Least Common Multiple (LCM) of 98673 and 98691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98673 and 98691. First we will calculate the prime factors of 98673 and 98691.

Prime Factorization of 98673

Prime Factorization of 98691

Now multiplying the highest exponent prime factors to calculate the LCM of 98673 and 98691.

LCM(98673,98691) = 3¹ × 31¹ × 1061¹ × 67¹ × 491¹
LCM(98673,98691) = 3246045681