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What is the Least Common Multiple of 63559 and 63565?

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 63559 and 63565 is 4040127835.

LCM(63559,63565) = 4040127835

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Least Common Multiple of 63559 and 63565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63559 and 63565, than apply into the LCM equation.

GCF(63559,63565) = 1
LCM(63559,63565) = ( 63559 × 63565) / 1
LCM(63559,63565) = 4040127835 / 1
LCM(63559,63565) = 4040127835

Least Common Multiple (LCM) of 63559 and 63565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63559 and 63565. First we will calculate the prime factors of 63559 and 63565.

Prime Factorization of 63559

Prime factors of 63559 are 63559. Prime factorization of 63559 in exponential form is:

63559 = 635591

Prime Factorization of 63565

Prime factors of 63565 are 5, 12713. Prime factorization of 63565 in exponential form is:

63565 = 51 × 127131

Now multiplying the highest exponent prime factors to calculate the LCM of 63559 and 63565.

LCM(63559,63565) = 635591 × 51 × 127131
LCM(63559,63565) = 4040127835