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What is the Least Common Multiple of 93629 and 93645?

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 93629 and 93645 is 8767887705.

LCM(93629,93645) = 8767887705

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Least Common Multiple of 93629 and 93645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93629 and 93645, than apply into the LCM equation.

GCF(93629,93645) = 1
LCM(93629,93645) = ( 93629 × 93645) / 1
LCM(93629,93645) = 8767887705 / 1
LCM(93629,93645) = 8767887705

Least Common Multiple (LCM) of 93629 and 93645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93629 and 93645. First we will calculate the prime factors of 93629 and 93645.

Prime Factorization of 93629

Prime factors of 93629 are 93629. Prime factorization of 93629 in exponential form is:

93629 = 936291

Prime Factorization of 93645

Prime factors of 93645 are 3, 5, 2081. Prime factorization of 93645 in exponential form is:

93645 = 32 × 51 × 20811

Now multiplying the highest exponent prime factors to calculate the LCM of 93629 and 93645.

LCM(93629,93645) = 936291 × 32 × 51 × 20811
LCM(93629,93645) = 8767887705