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What is the Least Common Multiple of 93828 and 93847?

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 93828 and 93847 is 8805476316.

LCM(93828,93847) = 8805476316

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Least Common Multiple of 93828 and 93847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93828 and 93847, than apply into the LCM equation.

GCF(93828,93847) = 1
LCM(93828,93847) = ( 93828 × 93847) / 1
LCM(93828,93847) = 8805476316 / 1
LCM(93828,93847) = 8805476316

Least Common Multiple (LCM) of 93828 and 93847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93828 and 93847. First we will calculate the prime factors of 93828 and 93847.

Prime Factorization of 93828

Prime factors of 93828 are 2, 3, 7, 1117. Prime factorization of 93828 in exponential form is:

93828 = 22 × 31 × 71 × 11171

Prime Factorization of 93847

Prime factors of 93847 are 13, 7219. Prime factorization of 93847 in exponential form is:

93847 = 131 × 72191

Now multiplying the highest exponent prime factors to calculate the LCM of 93828 and 93847.

LCM(93828,93847) = 22 × 31 × 71 × 11171 × 131 × 72191
LCM(93828,93847) = 8805476316