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What is the Least Common Multiple of 69336 and 69347?

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 69336 and 69347 is 4808243592.

LCM(69336,69347) = 4808243592

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Least Common Multiple of 69336 and 69347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69336 and 69347, than apply into the LCM equation.

GCF(69336,69347) = 1
LCM(69336,69347) = ( 69336 × 69347) / 1
LCM(69336,69347) = 4808243592 / 1
LCM(69336,69347) = 4808243592

Least Common Multiple (LCM) of 69336 and 69347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69336 and 69347. First we will calculate the prime factors of 69336 and 69347.

Prime Factorization of 69336

Prime factors of 69336 are 2, 3, 107. Prime factorization of 69336 in exponential form is:

69336 = 23 × 34 × 1071

Prime Factorization of 69347

Prime factors of 69347 are 31, 2237. Prime factorization of 69347 in exponential form is:

69347 = 311 × 22371

Now multiplying the highest exponent prime factors to calculate the LCM of 69336 and 69347.

LCM(69336,69347) = 23 × 34 × 1071 × 311 × 22371
LCM(69336,69347) = 4808243592