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What is the Least Common Multiple of 69431 and 69439?

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 69431 and 69439 is 4821219209.

LCM(69431,69439) = 4821219209

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Least Common Multiple of 69431 and 69439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69431 and 69439, than apply into the LCM equation.

GCF(69431,69439) = 1
LCM(69431,69439) = ( 69431 × 69439) / 1
LCM(69431,69439) = 4821219209 / 1
LCM(69431,69439) = 4821219209

Least Common Multiple (LCM) of 69431 and 69439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69431 and 69439. First we will calculate the prime factors of 69431 and 69439.

Prime Factorization of 69431

Prime factors of 69431 are 69431. Prime factorization of 69431 in exponential form is:

69431 = 694311

Prime Factorization of 69439

Prime factors of 69439 are 69439. Prime factorization of 69439 in exponential form is:

69439 = 694391

Now multiplying the highest exponent prime factors to calculate the LCM of 69431 and 69439.

LCM(69431,69439) = 694311 × 694391
LCM(69431,69439) = 4821219209