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What is the Least Common Multiple of 65343 and 65351?

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 65343 and 65351 is 4270230393.

LCM(65343,65351) = 4270230393

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Least Common Multiple of 65343 and 65351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65343 and 65351, than apply into the LCM equation.

GCF(65343,65351) = 1
LCM(65343,65351) = ( 65343 × 65351) / 1
LCM(65343,65351) = 4270230393 / 1
LCM(65343,65351) = 4270230393

Least Common Multiple (LCM) of 65343 and 65351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65343 and 65351. First we will calculate the prime factors of 65343 and 65351.

Prime Factorization of 65343

Prime factors of 65343 are 3, 23, 947. Prime factorization of 65343 in exponential form is:

65343 = 31 × 231 × 9471

Prime Factorization of 65351

Prime factors of 65351 are 11, 13, 457. Prime factorization of 65351 in exponential form is:

65351 = 111 × 131 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 65343 and 65351.

LCM(65343,65351) = 31 × 231 × 9471 × 111 × 131 × 4571
LCM(65343,65351) = 4270230393