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What is the Least Common Multiple of 65409 and 65417?

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 65409 and 65417 is 4278860553.

LCM(65409,65417) = 4278860553

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Least Common Multiple of 65409 and 65417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65409 and 65417, than apply into the LCM equation.

GCF(65409,65417) = 1
LCM(65409,65417) = ( 65409 × 65417) / 1
LCM(65409,65417) = 4278860553 / 1
LCM(65409,65417) = 4278860553

Least Common Multiple (LCM) of 65409 and 65417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65409 and 65417. First we will calculate the prime factors of 65409 and 65417.

Prime Factorization of 65409

Prime factors of 65409 are 3, 21803. Prime factorization of 65409 in exponential form is:

65409 = 31 × 218031

Prime Factorization of 65417

Prime factors of 65417 are 11, 19, 313. Prime factorization of 65417 in exponential form is:

65417 = 111 × 191 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 65409 and 65417.

LCM(65409,65417) = 31 × 218031 × 111 × 191 × 3131
LCM(65409,65417) = 4278860553