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What is the Least Common Multiple of 9370 and 9389?

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 9370 and 9389 is 87974930.

LCM(9370,9389) = 87974930

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Least Common Multiple of 9370 and 9389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9370 and 9389, than apply into the LCM equation.

GCF(9370,9389) = 1
LCM(9370,9389) = ( 9370 × 9389) / 1
LCM(9370,9389) = 87974930 / 1
LCM(9370,9389) = 87974930

Least Common Multiple (LCM) of 9370 and 9389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9370 and 9389. First we will calculate the prime factors of 9370 and 9389.

Prime Factorization of 9370

Prime factors of 9370 are 2, 5, 937. Prime factorization of 9370 in exponential form is:

9370 = 21 × 51 × 9371

Prime Factorization of 9389

Prime factors of 9389 are 41, 229. Prime factorization of 9389 in exponential form is:

9389 = 411 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 9370 and 9389.

LCM(9370,9389) = 21 × 51 × 9371 × 411 × 2291
LCM(9370,9389) = 87974930