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What is the Least Common Multiple of 69378 and 69383?

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 69378 and 69383 is 4813653774.

LCM(69378,69383) = 4813653774

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Least Common Multiple of 69378 and 69383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69378 and 69383, than apply into the LCM equation.

GCF(69378,69383) = 1
LCM(69378,69383) = ( 69378 × 69383) / 1
LCM(69378,69383) = 4813653774 / 1
LCM(69378,69383) = 4813653774

Least Common Multiple (LCM) of 69378 and 69383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69378 and 69383. First we will calculate the prime factors of 69378 and 69383.

Prime Factorization of 69378

Prime factors of 69378 are 2, 3, 31, 373. Prime factorization of 69378 in exponential form is:

69378 = 21 × 31 × 311 × 3731

Prime Factorization of 69383

Prime factors of 69383 are 69383. Prime factorization of 69383 in exponential form is:

69383 = 693831

Now multiplying the highest exponent prime factors to calculate the LCM of 69378 and 69383.

LCM(69378,69383) = 21 × 31 × 311 × 3731 × 693831
LCM(69378,69383) = 4813653774