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What is the Least Common Multiple of 65785 and 65803?

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 65785 and 65803 is 4328850355.

LCM(65785,65803) = 4328850355

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Least Common Multiple of 65785 and 65803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65785 and 65803, than apply into the LCM equation.

GCF(65785,65803) = 1
LCM(65785,65803) = ( 65785 × 65803) / 1
LCM(65785,65803) = 4328850355 / 1
LCM(65785,65803) = 4328850355

Least Common Multiple (LCM) of 65785 and 65803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65785 and 65803. First we will calculate the prime factors of 65785 and 65803.

Prime Factorization of 65785

Prime factors of 65785 are 5, 59, 223. Prime factorization of 65785 in exponential form is:

65785 = 51 × 591 × 2231

Prime Factorization of 65803

Prime factors of 65803 are 23, 2861. Prime factorization of 65803 in exponential form is:

65803 = 231 × 28611

Now multiplying the highest exponent prime factors to calculate the LCM of 65785 and 65803.

LCM(65785,65803) = 51 × 591 × 2231 × 231 × 28611
LCM(65785,65803) = 4328850355