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What is the Least Common Multiple of 65529 and 65544?

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 65529 and 65544 is 1431677592.

LCM(65529,65544) = 1431677592

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Least Common Multiple of 65529 and 65544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65529 and 65544, than apply into the LCM equation.

GCF(65529,65544) = 3
LCM(65529,65544) = ( 65529 × 65544) / 3
LCM(65529,65544) = 4295032776 / 3
LCM(65529,65544) = 1431677592

Least Common Multiple (LCM) of 65529 and 65544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65529 and 65544. First we will calculate the prime factors of 65529 and 65544.

Prime Factorization of 65529

Prime factors of 65529 are 3, 809. Prime factorization of 65529 in exponential form is:

65529 = 34 × 8091

Prime Factorization of 65544

Prime factors of 65544 are 2, 3, 2731. Prime factorization of 65544 in exponential form is:

65544 = 23 × 31 × 27311

Now multiplying the highest exponent prime factors to calculate the LCM of 65529 and 65544.

LCM(65529,65544) = 34 × 8091 × 23 × 27311
LCM(65529,65544) = 1431677592