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What is the Least Common Multiple of 69378 and 69397?

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 69397 is 4814625066.

LCM(69378,69397) = 4814625066

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Least Common Multiple of 69378 and 69397 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 69397, than apply into the LCM equation.

GCF(69378,69397) = 1
LCM(69378,69397) = ( 69378 × 69397) / 1
LCM(69378,69397) = 4814625066 / 1
LCM(69378,69397) = 4814625066

Least Common Multiple (LCM) of 69378 and 69397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69378 and 69397. First we will calculate the prime factors of 69378 and 69397.

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 69397

Prime factors of 69397 are 29, 2393. Prime factorization of 69397 in exponential form is:

69397 = 291 × 23931

Now multiplying the highest exponent prime factors to calculate the LCM of 69378 and 69397.

LCM(69378,69397) = 21 × 31 × 311 × 3731 × 291 × 23931
LCM(69378,69397) = 4814625066