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What is the Least Common Multiple of 65439 and 65459?

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 65439 and 65459 is 4283571501.

LCM(65439,65459) = 4283571501

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Least Common Multiple of 65439 and 65459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65439 and 65459, than apply into the LCM equation.

GCF(65439,65459) = 1
LCM(65439,65459) = ( 65439 × 65459) / 1
LCM(65439,65459) = 4283571501 / 1
LCM(65439,65459) = 4283571501

Least Common Multiple (LCM) of 65439 and 65459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65439 and 65459. First we will calculate the prime factors of 65439 and 65459.

Prime Factorization of 65439

Prime factors of 65439 are 3, 11, 661. Prime factorization of 65439 in exponential form is:

65439 = 32 × 111 × 6611

Prime Factorization of 65459

Prime factors of 65459 are 67, 977. Prime factorization of 65459 in exponential form is:

65459 = 671 × 9771

Now multiplying the highest exponent prime factors to calculate the LCM of 65439 and 65459.

LCM(65439,65459) = 32 × 111 × 6611 × 671 × 9771
LCM(65439,65459) = 4283571501