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What is the Least Common Multiple of 88559 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 88559 and 88571 is 7843759189.

LCM(88559,88571) = 7843759189

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Least Common Multiple of 88559 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 88559 and 88571, than apply into the LCM equation.

GCF(88559,88571) = 1
LCM(88559,88571) = ( 88559 × 88571) / 1
LCM(88559,88571) = 7843759189 / 1
LCM(88559,88571) = 7843759189

Least Common Multiple (LCM) of 88559 and 88571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88559 and 88571. First we will calculate the prime factors of 88559 and 88571.

Prime Factorization of 88559

Prime factors of 88559 are 19, 59, 79. Prime factorization of 88559 in exponential form is:

88559 = 191 × 591 × 791

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 88559 and 88571.

LCM(88559,88571) = 191 × 591 × 791 × 71 × 126531
LCM(88559,88571) = 7843759189