What is the Least Common Multiple of 9808 and 9826?

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 9808 and 9826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9808 and 9826, than apply into the LCM equation.

GCF(9808,9826) = 2
LCM(9808,9826) = ( 9808 × 9826) / 2
LCM(9808,9826) = 96373408 / 2
LCM(9808,9826) = 48186704

Least Common Multiple (LCM) of 9808 and 9826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9808 and 9826. First we will calculate the prime factors of 9808 and 9826.

Prime Factorization of 9808

Prime Factorization of 9826

Now multiplying the highest exponent prime factors to calculate the LCM of 9808 and 9826.

LCM(9808,9826) = 2⁴ × 613¹ × 17³
LCM(9808,9826) = 48186704