What is the Least Common Multiple of 96819 and 96838?

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 96819 and 96838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96819 and 96838, than apply into the LCM equation.

GCF(96819,96838) = 1
LCM(96819,96838) = ( 96819 × 96838) / 1
LCM(96819,96838) = 9375758322 / 1
LCM(96819,96838) = 9375758322

Least Common Multiple (LCM) of 96819 and 96838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96819 and 96838. First we will calculate the prime factors of 96819 and 96838.

Prime Factorization of 96819

Prime Factorization of 96838

Now multiplying the highest exponent prime factors to calculate the LCM of 96819 and 96838.

LCM(96819,96838) = 3¹ × 59¹ × 547¹ × 2¹ × 7¹ × 6917¹
LCM(96819,96838) = 9375758322