What is the Least Common Multiple of 99781 and 99797?

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 99781 and 99797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99781 and 99797, than apply into the LCM equation.

GCF(99781,99797) = 1
LCM(99781,99797) = ( 99781 × 99797) / 1
LCM(99781,99797) = 9957844457 / 1
LCM(99781,99797) = 9957844457

Least Common Multiple (LCM) of 99781 and 99797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99781 and 99797. First we will calculate the prime factors of 99781 and 99797.

Prime Factorization of 99781

Prime Factorization of 99797

Now multiplying the highest exponent prime factors to calculate the LCM of 99781 and 99797.

LCM(99781,99797) = 11¹ × 47¹ × 193¹ × 23¹ × 4339¹
LCM(99781,99797) = 9957844457