GCF and LCM Calculator Logo

What is the Least Common Multiple of 9808 and 9816?

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 (LCM) of 9808 and 9816 is 12034416.

LCM(9808,9816) = 12034416

LCM Calculator and
and

Least Common Multiple of 9808 and 9816 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 9816, than apply into the LCM equation.

GCF(9808,9816) = 8
LCM(9808,9816) = ( 9808 × 9816) / 8
LCM(9808,9816) = 96275328 / 8
LCM(9808,9816) = 12034416

Least Common Multiple (LCM) of 9808 and 9816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9808 and 9816. First we will calculate the prime factors of 9808 and 9816.

Prime Factorization of 9808

Prime factors of 9808 are 2, 613. Prime factorization of 9808 in exponential form is:

9808 = 24 × 6131

Prime Factorization of 9816

Prime factors of 9816 are 2, 3, 409. Prime factorization of 9816 in exponential form is:

9816 = 23 × 31 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 9808 and 9816.

LCM(9808,9816) = 24 × 6131 × 31 × 4091
LCM(9808,9816) = 12034416