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What is the Least Common Multiple of 9808 and 9822?

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 9822 is 48167088.

LCM(9808,9822) = 48167088

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Least Common Multiple of 9808 and 9822 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 9822, than apply into the LCM equation.

GCF(9808,9822) = 2
LCM(9808,9822) = ( 9808 × 9822) / 2
LCM(9808,9822) = 96334176 / 2
LCM(9808,9822) = 48167088

Least Common Multiple (LCM) of 9808 and 9822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9808 and 9822. First we will calculate the prime factors of 9808 and 9822.

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 9822

Prime factors of 9822 are 2, 3, 1637. Prime factorization of 9822 in exponential form is:

9822 = 21 × 31 × 16371

Now multiplying the highest exponent prime factors to calculate the LCM of 9808 and 9822.

LCM(9808,9822) = 24 × 6131 × 31 × 16371
LCM(9808,9822) = 48167088