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What is the Least Common Multiple of 9385 and 9401?

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 9385 and 9401 is 88228385.

LCM(9385,9401) = 88228385

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Least Common Multiple of 9385 and 9401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9385 and 9401, than apply into the LCM equation.

GCF(9385,9401) = 1
LCM(9385,9401) = ( 9385 × 9401) / 1
LCM(9385,9401) = 88228385 / 1
LCM(9385,9401) = 88228385

Least Common Multiple (LCM) of 9385 and 9401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9385 and 9401. First we will calculate the prime factors of 9385 and 9401.

Prime Factorization of 9385

Prime factors of 9385 are 5, 1877. Prime factorization of 9385 in exponential form is:

9385 = 51 × 18771

Prime Factorization of 9401

Prime factors of 9401 are 7, 17, 79. Prime factorization of 9401 in exponential form is:

9401 = 71 × 171 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 9385 and 9401.

LCM(9385,9401) = 51 × 18771 × 71 × 171 × 791
LCM(9385,9401) = 88228385