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What is the Least Common Multiple of 9816 and 9830?

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 9816 and 9830 is 48245640.

LCM(9816,9830) = 48245640

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Least Common Multiple of 9816 and 9830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9816 and 9830, than apply into the LCM equation.

GCF(9816,9830) = 2
LCM(9816,9830) = ( 9816 × 9830) / 2
LCM(9816,9830) = 96491280 / 2
LCM(9816,9830) = 48245640

Least Common Multiple (LCM) of 9816 and 9830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9816 and 9830. First we will calculate the prime factors of 9816 and 9830.

Prime Factorization of 9816

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

9816 = 23 × 31 × 4091

Prime Factorization of 9830

Prime factors of 9830 are 2, 5, 983. Prime factorization of 9830 in exponential form is:

9830 = 21 × 51 × 9831

Now multiplying the highest exponent prime factors to calculate the LCM of 9816 and 9830.

LCM(9816,9830) = 23 × 31 × 4091 × 51 × 9831
LCM(9816,9830) = 48245640