What is the Least Common Multiple of 9801 and 9807?

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 9801 and 9807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9801 and 9807, than apply into the LCM equation.

GCF(9801,9807) = 3
LCM(9801,9807) = ( 9801 × 9807) / 3
LCM(9801,9807) = 96118407 / 3
LCM(9801,9807) = 32039469

Least Common Multiple (LCM) of 9801 and 9807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9801 and 9807. First we will calculate the prime factors of 9801 and 9807.

Prime Factorization of 9801

Prime Factorization of 9807

Now multiplying the highest exponent prime factors to calculate the LCM of 9801 and 9807.

LCM(9801,9807) = 3⁴ × 11² × 7¹ × 467¹
LCM(9801,9807) = 32039469