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What is the Least Common Multiple of 93837 and 93845?

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 93837 and 93845 is 8806133265.

LCM(93837,93845) = 8806133265

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Least Common Multiple of 93837 and 93845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93837 and 93845, than apply into the LCM equation.

GCF(93837,93845) = 1
LCM(93837,93845) = ( 93837 × 93845) / 1
LCM(93837,93845) = 8806133265 / 1
LCM(93837,93845) = 8806133265

Least Common Multiple (LCM) of 93837 and 93845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93837 and 93845. First we will calculate the prime factors of 93837 and 93845.

Prime Factorization of 93837

Prime factors of 93837 are 3, 31, 1009. Prime factorization of 93837 in exponential form is:

93837 = 31 × 311 × 10091

Prime Factorization of 93845

Prime factors of 93845 are 5, 137. Prime factorization of 93845 in exponential form is:

93845 = 51 × 1372

Now multiplying the highest exponent prime factors to calculate the LCM of 93837 and 93845.

LCM(93837,93845) = 31 × 311 × 10091 × 51 × 1372
LCM(93837,93845) = 8806133265