What is the Least Common Multiple of 9796 and 9809?

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 9796 and 9809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9796 and 9809, than apply into the LCM equation.

GCF(9796,9809) = 1
LCM(9796,9809) = ( 9796 × 9809) / 1
LCM(9796,9809) = 96088964 / 1
LCM(9796,9809) = 96088964

Least Common Multiple (LCM) of 9796 and 9809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9796 and 9809. First we will calculate the prime factors of 9796 and 9809.

Prime Factorization of 9796

Prime Factorization of 9809

Now multiplying the highest exponent prime factors to calculate the LCM of 9796 and 9809.

LCM(9796,9809) = 2² × 31¹ × 79¹ × 17¹ × 577¹
LCM(9796,9809) = 96088964