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What is the Least Common Multiple of 93634 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 93634 and 93645 is 8768355930.

LCM(93634,93645) = 8768355930

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Least Common Multiple of 93634 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 93634 and 93645, than apply into the LCM equation.

GCF(93634,93645) = 1
LCM(93634,93645) = ( 93634 × 93645) / 1
LCM(93634,93645) = 8768355930 / 1
LCM(93634,93645) = 8768355930

Least Common Multiple (LCM) of 93634 and 93645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93634 and 93645. First we will calculate the prime factors of 93634 and 93645.

Prime Factorization of 93634

Prime factors of 93634 are 2, 46817. Prime factorization of 93634 in exponential form is:

93634 = 21 × 468171

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 93634 and 93645.

LCM(93634,93645) = 21 × 468171 × 32 × 51 × 20811
LCM(93634,93645) = 8768355930