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What is the Least Common Multiple of 69343 and 69357?

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 69343 and 69357 is 4809422451.

LCM(69343,69357) = 4809422451

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Least Common Multiple of 69343 and 69357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69343 and 69357, than apply into the LCM equation.

GCF(69343,69357) = 1
LCM(69343,69357) = ( 69343 × 69357) / 1
LCM(69343,69357) = 4809422451 / 1
LCM(69343,69357) = 4809422451

Least Common Multiple (LCM) of 69343 and 69357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69343 and 69357. First we will calculate the prime factors of 69343 and 69357.

Prime Factorization of 69343

Prime factors of 69343 are 17, 4079. Prime factorization of 69343 in exponential form is:

69343 = 171 × 40791

Prime Factorization of 69357

Prime factors of 69357 are 3, 61, 379. Prime factorization of 69357 in exponential form is:

69357 = 31 × 611 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 69343 and 69357.

LCM(69343,69357) = 171 × 40791 × 31 × 611 × 3791
LCM(69343,69357) = 4809422451