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What is the Least Common Multiple of 65571 and 65583?

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 65571 and 65583 is 1433447631.

LCM(65571,65583) = 1433447631

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Least Common Multiple of 65571 and 65583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65571 and 65583, than apply into the LCM equation.

GCF(65571,65583) = 3
LCM(65571,65583) = ( 65571 × 65583) / 3
LCM(65571,65583) = 4300342893 / 3
LCM(65571,65583) = 1433447631

Least Common Multiple (LCM) of 65571 and 65583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65571 and 65583. First we will calculate the prime factors of 65571 and 65583.

Prime Factorization of 65571

Prime factors of 65571 are 3, 11, 1987. Prime factorization of 65571 in exponential form is:

65571 = 31 × 111 × 19871

Prime Factorization of 65583

Prime factors of 65583 are 3, 7, 347. Prime factorization of 65583 in exponential form is:

65583 = 33 × 71 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 65571 and 65583.

LCM(65571,65583) = 33 × 111 × 19871 × 71 × 3471
LCM(65571,65583) = 1433447631