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What is the Least Common Multiple of 65785 and 65799?

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 65799 is 4328587215.

LCM(65785,65799) = 4328587215

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Least Common Multiple of 65785 and 65799 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 65799, than apply into the LCM equation.

GCF(65785,65799) = 1
LCM(65785,65799) = ( 65785 × 65799) / 1
LCM(65785,65799) = 4328587215 / 1
LCM(65785,65799) = 4328587215

Least Common Multiple (LCM) of 65785 and 65799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65785 and 65799. First we will calculate the prime factors of 65785 and 65799.

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 65799

Prime factors of 65799 are 3, 2437. Prime factorization of 65799 in exponential form is:

65799 = 33 × 24371

Now multiplying the highest exponent prime factors to calculate the LCM of 65785 and 65799.

LCM(65785,65799) = 51 × 591 × 2231 × 33 × 24371
LCM(65785,65799) = 4328587215