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What is the Least Common Multiple of 69341 and 69348?

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 69341 and 69348 is 4808659668.

LCM(69341,69348) = 4808659668

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Least Common Multiple of 69341 and 69348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69341 and 69348, than apply into the LCM equation.

GCF(69341,69348) = 1
LCM(69341,69348) = ( 69341 × 69348) / 1
LCM(69341,69348) = 4808659668 / 1
LCM(69341,69348) = 4808659668

Least Common Multiple (LCM) of 69341 and 69348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69341 and 69348. First we will calculate the prime factors of 69341 and 69348.

Prime Factorization of 69341

Prime factors of 69341 are 69341. Prime factorization of 69341 in exponential form is:

69341 = 693411

Prime Factorization of 69348

Prime factors of 69348 are 2, 3, 5779. Prime factorization of 69348 in exponential form is:

69348 = 22 × 31 × 57791

Now multiplying the highest exponent prime factors to calculate the LCM of 69341 and 69348.

LCM(69341,69348) = 693411 × 22 × 31 × 57791
LCM(69341,69348) = 4808659668