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What is the Least Common Multiple of 9841 and 9852?

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 9841 and 9852 is 96953532.

LCM(9841,9852) = 96953532

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Least Common Multiple of 9841 and 9852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9841 and 9852, than apply into the LCM equation.

GCF(9841,9852) = 1
LCM(9841,9852) = ( 9841 × 9852) / 1
LCM(9841,9852) = 96953532 / 1
LCM(9841,9852) = 96953532

Least Common Multiple (LCM) of 9841 and 9852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9841 and 9852. First we will calculate the prime factors of 9841 and 9852.

Prime Factorization of 9841

Prime factors of 9841 are 13, 757. Prime factorization of 9841 in exponential form is:

9841 = 131 × 7571

Prime Factorization of 9852

Prime factors of 9852 are 2, 3, 821. Prime factorization of 9852 in exponential form is:

9852 = 22 × 31 × 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 9841 and 9852.

LCM(9841,9852) = 131 × 7571 × 22 × 31 × 8211
LCM(9841,9852) = 96953532