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What is the Least Common Multiple of 99832 and 99847?

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 99832 and 99847 is 9967925704.

LCM(99832,99847) = 9967925704

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Least Common Multiple of 99832 and 99847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99832 and 99847, than apply into the LCM equation.

GCF(99832,99847) = 1
LCM(99832,99847) = ( 99832 × 99847) / 1
LCM(99832,99847) = 9967925704 / 1
LCM(99832,99847) = 9967925704

Least Common Multiple (LCM) of 99832 and 99847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99832 and 99847. First we will calculate the prime factors of 99832 and 99847.

Prime Factorization of 99832

Prime factors of 99832 are 2, 12479. Prime factorization of 99832 in exponential form is:

99832 = 23 × 124791

Prime Factorization of 99847

Prime factors of 99847 are 11, 29, 313. Prime factorization of 99847 in exponential form is:

99847 = 111 × 291 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 99832 and 99847.

LCM(99832,99847) = 23 × 124791 × 111 × 291 × 3131
LCM(99832,99847) = 9967925704