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What is the Least Common Multiple of 9808 and 9828?

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 9828 is 24098256.

LCM(9808,9828) = 24098256

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Least Common Multiple of 9808 and 9828 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 9828, than apply into the LCM equation.

GCF(9808,9828) = 4
LCM(9808,9828) = ( 9808 × 9828) / 4
LCM(9808,9828) = 96393024 / 4
LCM(9808,9828) = 24098256

Least Common Multiple (LCM) of 9808 and 9828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9808 and 9828. First we will calculate the prime factors of 9808 and 9828.

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 9828

Prime factors of 9828 are 2, 3, 7, 13. Prime factorization of 9828 in exponential form is:

9828 = 22 × 33 × 71 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 9808 and 9828.

LCM(9808,9828) = 24 × 6131 × 33 × 71 × 131
LCM(9808,9828) = 24098256