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What is the Least Common Multiple of 65303 and 65323?

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 65303 and 65323 is 4265787869.

LCM(65303,65323) = 4265787869

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Least Common Multiple of 65303 and 65323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65303 and 65323, than apply into the LCM equation.

GCF(65303,65323) = 1
LCM(65303,65323) = ( 65303 × 65323) / 1
LCM(65303,65323) = 4265787869 / 1
LCM(65303,65323) = 4265787869

Least Common Multiple (LCM) of 65303 and 65323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65303 and 65323. First we will calculate the prime factors of 65303 and 65323.

Prime Factorization of 65303

Prime factors of 65303 are 7, 19, 491. Prime factorization of 65303 in exponential form is:

65303 = 71 × 191 × 4911

Prime Factorization of 65323

Prime factors of 65323 are 65323. Prime factorization of 65323 in exponential form is:

65323 = 653231

Now multiplying the highest exponent prime factors to calculate the LCM of 65303 and 65323.

LCM(65303,65323) = 71 × 191 × 4911 × 653231
LCM(65303,65323) = 4265787869