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What is the Least Common Multiple of 38383 and 38397?

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 38383 and 38397 is 1473792051.

LCM(38383,38397) = 1473792051

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Least Common Multiple of 38383 and 38397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38383 and 38397, than apply into the LCM equation.

GCF(38383,38397) = 1
LCM(38383,38397) = ( 38383 × 38397) / 1
LCM(38383,38397) = 1473792051 / 1
LCM(38383,38397) = 1473792051

Least Common Multiple (LCM) of 38383 and 38397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38383 and 38397. First we will calculate the prime factors of 38383 and 38397.

Prime Factorization of 38383

Prime factors of 38383 are 131, 293. Prime factorization of 38383 in exponential form is:

38383 = 1311 × 2931

Prime Factorization of 38397

Prime factors of 38397 are 3, 12799. Prime factorization of 38397 in exponential form is:

38397 = 31 × 127991

Now multiplying the highest exponent prime factors to calculate the LCM of 38383 and 38397.

LCM(38383,38397) = 1311 × 2931 × 31 × 127991
LCM(38383,38397) = 1473792051