What is the Least Common Multiple of 9794 and 9811?

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 9794 and 9811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9794 and 9811, than apply into the LCM equation.

GCF(9794,9811) = 1
LCM(9794,9811) = ( 9794 × 9811) / 1
LCM(9794,9811) = 96088934 / 1
LCM(9794,9811) = 96088934

Least Common Multiple (LCM) of 9794 and 9811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9794 and 9811. First we will calculate the prime factors of 9794 and 9811.

Prime Factorization of 9794

Prime Factorization of 9811

Now multiplying the highest exponent prime factors to calculate the LCM of 9794 and 9811.

LCM(9794,9811) = 2¹ × 59¹ × 83¹ × 9811¹
LCM(9794,9811) = 96088934