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What is the Least Common Multiple of 65303 and 65314?

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 65314 is 4265200142.

LCM(65303,65314) = 4265200142

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Least Common Multiple of 65303 and 65314 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 65314, than apply into the LCM equation.

GCF(65303,65314) = 1
LCM(65303,65314) = ( 65303 × 65314) / 1
LCM(65303,65314) = 4265200142 / 1
LCM(65303,65314) = 4265200142

Least Common Multiple (LCM) of 65303 and 65314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65303 and 65314. First we will calculate the prime factors of 65303 and 65314.

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 65314

Prime factors of 65314 are 2, 17, 113. Prime factorization of 65314 in exponential form is:

65314 = 21 × 172 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 65303 and 65314.

LCM(65303,65314) = 71 × 191 × 4911 × 21 × 172 × 1131
LCM(65303,65314) = 4265200142