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What is the Least Common Multiple of 93811 and 93829?

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 93811 and 93829 is 8802192319.

LCM(93811,93829) = 8802192319

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Least Common Multiple of 93811 and 93829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93811 and 93829, than apply into the LCM equation.

GCF(93811,93829) = 1
LCM(93811,93829) = ( 93811 × 93829) / 1
LCM(93811,93829) = 8802192319 / 1
LCM(93811,93829) = 8802192319

Least Common Multiple (LCM) of 93811 and 93829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93811 and 93829. First we will calculate the prime factors of 93811 and 93829.

Prime Factorization of 93811

Prime factors of 93811 are 93811. Prime factorization of 93811 in exponential form is:

93811 = 938111

Prime Factorization of 93829

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

93829 = 1011 × 9291

Now multiplying the highest exponent prime factors to calculate the LCM of 93811 and 93829.

LCM(93811,93829) = 938111 × 1011 × 9291
LCM(93811,93829) = 8802192319