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What is the Least Common Multiple of 93829 and 93843?

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 93829 and 93843 is 8805194847.

LCM(93829,93843) = 8805194847

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Least Common Multiple of 93829 and 93843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93829 and 93843, than apply into the LCM equation.

GCF(93829,93843) = 1
LCM(93829,93843) = ( 93829 × 93843) / 1
LCM(93829,93843) = 8805194847 / 1
LCM(93829,93843) = 8805194847

Least Common Multiple (LCM) of 93829 and 93843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93829 and 93843. First we will calculate the prime factors of 93829 and 93843.

Prime Factorization of 93829

Prime factors of 93829 are 101, 929. Prime factorization of 93829 in exponential form is:

93829 = 1011 × 9291

Prime Factorization of 93843

Prime factors of 93843 are 3, 10427. Prime factorization of 93843 in exponential form is:

93843 = 32 × 104271

Now multiplying the highest exponent prime factors to calculate the LCM of 93829 and 93843.

LCM(93829,93843) = 1011 × 9291 × 32 × 104271
LCM(93829,93843) = 8805194847