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What is the Least Common Multiple of 63559 and 63579?

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 63579 is 4041017661.

LCM(63559,63579) = 4041017661

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Least Common Multiple of 63559 and 63579 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 63579, than apply into the LCM equation.

GCF(63559,63579) = 1
LCM(63559,63579) = ( 63559 × 63579) / 1
LCM(63559,63579) = 4041017661 / 1
LCM(63559,63579) = 4041017661

Least Common Multiple (LCM) of 63559 and 63579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63559 and 63579. First we will calculate the prime factors of 63559 and 63579.

Prime Factorization of 63559

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

63559 = 635591

Prime Factorization of 63579

Prime factors of 63579 are 3, 21193. Prime factorization of 63579 in exponential form is:

63579 = 31 × 211931

Now multiplying the highest exponent prime factors to calculate the LCM of 63559 and 63579.

LCM(63559,63579) = 635591 × 31 × 211931
LCM(63559,63579) = 4041017661