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What is the Least Common Multiple of 9370 and 9388?

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 9388 is 43982780.

LCM(9370,9388) = 43982780

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Least Common Multiple of 9370 and 9388 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 9388, than apply into the LCM equation.

GCF(9370,9388) = 2
LCM(9370,9388) = ( 9370 × 9388) / 2
LCM(9370,9388) = 87965560 / 2
LCM(9370,9388) = 43982780

Least Common Multiple (LCM) of 9370 and 9388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9370 and 9388. First we will calculate the prime factors of 9370 and 9388.

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 9388

Prime factors of 9388 are 2, 2347. Prime factorization of 9388 in exponential form is:

9388 = 22 × 23471

Now multiplying the highest exponent prime factors to calculate the LCM of 9370 and 9388.

LCM(9370,9388) = 22 × 51 × 9371 × 23471
LCM(9370,9388) = 43982780