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What is the Least Common Multiple of 93825 and 93836?

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 93825 and 93836 is 8804162700.

LCM(93825,93836) = 8804162700

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Least Common Multiple of 93825 and 93836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93825 and 93836, than apply into the LCM equation.

GCF(93825,93836) = 1
LCM(93825,93836) = ( 93825 × 93836) / 1
LCM(93825,93836) = 8804162700 / 1
LCM(93825,93836) = 8804162700

Least Common Multiple (LCM) of 93825 and 93836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93825 and 93836. First we will calculate the prime factors of 93825 and 93836.

Prime Factorization of 93825

Prime factors of 93825 are 3, 5, 139. Prime factorization of 93825 in exponential form is:

93825 = 33 × 52 × 1391

Prime Factorization of 93836

Prime factors of 93836 are 2, 23459. Prime factorization of 93836 in exponential form is:

93836 = 22 × 234591

Now multiplying the highest exponent prime factors to calculate the LCM of 93825 and 93836.

LCM(93825,93836) = 33 × 52 × 1391 × 22 × 234591
LCM(93825,93836) = 8804162700