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What is the Least Common Multiple of 51563 and 51571?

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 51563 and 51571 is 2659155473.

LCM(51563,51571) = 2659155473

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Least Common Multiple of 51563 and 51571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51563 and 51571, than apply into the LCM equation.

GCF(51563,51571) = 1
LCM(51563,51571) = ( 51563 × 51571) / 1
LCM(51563,51571) = 2659155473 / 1
LCM(51563,51571) = 2659155473

Least Common Multiple (LCM) of 51563 and 51571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51563 and 51571. First we will calculate the prime factors of 51563 and 51571.

Prime Factorization of 51563

Prime factors of 51563 are 51563. Prime factorization of 51563 in exponential form is:

51563 = 515631

Prime Factorization of 51571

Prime factors of 51571 are 13, 3967. Prime factorization of 51571 in exponential form is:

51571 = 131 × 39671

Now multiplying the highest exponent prime factors to calculate the LCM of 51563 and 51571.

LCM(51563,51571) = 515631 × 131 × 39671
LCM(51563,51571) = 2659155473