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What is the Least Common Multiple of 65085 and 65103?

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 65085 and 65103 is 1412409585.

LCM(65085,65103) = 1412409585

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Least Common Multiple of 65085 and 65103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65085 and 65103, than apply into the LCM equation.

GCF(65085,65103) = 3
LCM(65085,65103) = ( 65085 × 65103) / 3
LCM(65085,65103) = 4237228755 / 3
LCM(65085,65103) = 1412409585

Least Common Multiple (LCM) of 65085 and 65103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65085 and 65103. First we will calculate the prime factors of 65085 and 65103.

Prime Factorization of 65085

Prime factors of 65085 are 3, 5, 4339. Prime factorization of 65085 in exponential form is:

65085 = 31 × 51 × 43391

Prime Factorization of 65103

Prime factors of 65103 are 3, 21701. Prime factorization of 65103 in exponential form is:

65103 = 31 × 217011

Now multiplying the highest exponent prime factors to calculate the LCM of 65085 and 65103.

LCM(65085,65103) = 31 × 51 × 43391 × 217011
LCM(65085,65103) = 1412409585