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What is the Least Common Multiple of 65548 and 65563?

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 65548 and 65563 is 4297523524.

LCM(65548,65563) = 4297523524

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Least Common Multiple of 65548 and 65563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65548 and 65563, than apply into the LCM equation.

GCF(65548,65563) = 1
LCM(65548,65563) = ( 65548 × 65563) / 1
LCM(65548,65563) = 4297523524 / 1
LCM(65548,65563) = 4297523524

Least Common Multiple (LCM) of 65548 and 65563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65548 and 65563. First we will calculate the prime factors of 65548 and 65563.

Prime Factorization of 65548

Prime factors of 65548 are 2, 7, 2341. Prime factorization of 65548 in exponential form is:

65548 = 22 × 71 × 23411

Prime Factorization of 65563

Prime factors of 65563 are 65563. Prime factorization of 65563 in exponential form is:

65563 = 655631

Now multiplying the highest exponent prime factors to calculate the LCM of 65548 and 65563.

LCM(65548,65563) = 22 × 71 × 23411 × 655631
LCM(65548,65563) = 4297523524