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What is the Least Common Multiple of 69279 and 69294?

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 69279 and 69294 is 1600206342.

LCM(69279,69294) = 1600206342

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Least Common Multiple of 69279 and 69294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69279 and 69294, than apply into the LCM equation.

GCF(69279,69294) = 3
LCM(69279,69294) = ( 69279 × 69294) / 3
LCM(69279,69294) = 4800619026 / 3
LCM(69279,69294) = 1600206342

Least Common Multiple (LCM) of 69279 and 69294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69279 and 69294. First we will calculate the prime factors of 69279 and 69294.

Prime Factorization of 69279

Prime factors of 69279 are 3, 7, 3299. Prime factorization of 69279 in exponential form is:

69279 = 31 × 71 × 32991

Prime Factorization of 69294

Prime factors of 69294 are 2, 3, 11549. Prime factorization of 69294 in exponential form is:

69294 = 21 × 31 × 115491

Now multiplying the highest exponent prime factors to calculate the LCM of 69279 and 69294.

LCM(69279,69294) = 31 × 71 × 32991 × 21 × 115491
LCM(69279,69294) = 1600206342