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What is the Least Common Multiple of 65423 and 65441?

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 65423 and 65441 is 4281346543.

LCM(65423,65441) = 4281346543

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Least Common Multiple of 65423 and 65441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65423 and 65441, than apply into the LCM equation.

GCF(65423,65441) = 1
LCM(65423,65441) = ( 65423 × 65441) / 1
LCM(65423,65441) = 4281346543 / 1
LCM(65423,65441) = 4281346543

Least Common Multiple (LCM) of 65423 and 65441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65423 and 65441. First we will calculate the prime factors of 65423 and 65441.

Prime Factorization of 65423

Prime factors of 65423 are 65423. Prime factorization of 65423 in exponential form is:

65423 = 654231

Prime Factorization of 65441

Prime factors of 65441 are 31, 2111. Prime factorization of 65441 in exponential form is:

65441 = 311 × 21111

Now multiplying the highest exponent prime factors to calculate the LCM of 65423 and 65441.

LCM(65423,65441) = 654231 × 311 × 21111
LCM(65423,65441) = 4281346543