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What is the Least Common Multiple of 69437 and 69447?

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 69437 and 69447 is 4822191339.

LCM(69437,69447) = 4822191339

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Least Common Multiple of 69437 and 69447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69437 and 69447, than apply into the LCM equation.

GCF(69437,69447) = 1
LCM(69437,69447) = ( 69437 × 69447) / 1
LCM(69437,69447) = 4822191339 / 1
LCM(69437,69447) = 4822191339

Least Common Multiple (LCM) of 69437 and 69447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69437 and 69447. First we will calculate the prime factors of 69437 and 69447.

Prime Factorization of 69437

Prime factors of 69437 are 23, 3019. Prime factorization of 69437 in exponential form is:

69437 = 231 × 30191

Prime Factorization of 69447

Prime factors of 69447 are 3, 7, 3307. Prime factorization of 69447 in exponential form is:

69447 = 31 × 71 × 33071

Now multiplying the highest exponent prime factors to calculate the LCM of 69437 and 69447.

LCM(69437,69447) = 231 × 30191 × 31 × 71 × 33071
LCM(69437,69447) = 4822191339