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What is the Least Common Multiple of 69403 and 69423?

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 69403 and 69423 is 4818164469.

LCM(69403,69423) = 4818164469

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Least Common Multiple of 69403 and 69423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69403 and 69423, than apply into the LCM equation.

GCF(69403,69423) = 1
LCM(69403,69423) = ( 69403 × 69423) / 1
LCM(69403,69423) = 4818164469 / 1
LCM(69403,69423) = 4818164469

Least Common Multiple (LCM) of 69403 and 69423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69403 and 69423. First we will calculate the prime factors of 69403 and 69423.

Prime Factorization of 69403

Prime factors of 69403 are 69403. Prime factorization of 69403 in exponential form is:

69403 = 694031

Prime Factorization of 69423

Prime factors of 69423 are 3, 73, 317. Prime factorization of 69423 in exponential form is:

69423 = 31 × 731 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 69403 and 69423.

LCM(69403,69423) = 694031 × 31 × 731 × 3171
LCM(69403,69423) = 4818164469