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What is the Least Common Multiple of 88565 and 88571?

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 88565 and 88571 is 7844290615.

LCM(88565,88571) = 7844290615

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Least Common Multiple of 88565 and 88571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88565 and 88571, than apply into the LCM equation.

GCF(88565,88571) = 1
LCM(88565,88571) = ( 88565 × 88571) / 1
LCM(88565,88571) = 7844290615 / 1
LCM(88565,88571) = 7844290615

Least Common Multiple (LCM) of 88565 and 88571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88565 and 88571. First we will calculate the prime factors of 88565 and 88571.

Prime Factorization of 88565

Prime factors of 88565 are 5, 17713. Prime factorization of 88565 in exponential form is:

88565 = 51 × 177131

Prime Factorization of 88571

Prime factors of 88571 are 7, 12653. Prime factorization of 88571 in exponential form is:

88571 = 71 × 126531

Now multiplying the highest exponent prime factors to calculate the LCM of 88565 and 88571.

LCM(88565,88571) = 51 × 177131 × 71 × 126531
LCM(88565,88571) = 7844290615