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What is the Least Common Multiple of 88559 and 88563?

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 88563 is 7843050717.

LCM(88559,88563) = 7843050717

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Least Common Multiple of 88559 and 88563 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 88563, than apply into the LCM equation.

GCF(88559,88563) = 1
LCM(88559,88563) = ( 88559 × 88563) / 1
LCM(88559,88563) = 7843050717 / 1
LCM(88559,88563) = 7843050717

Least Common Multiple (LCM) of 88559 and 88563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88559 and 88563. First we will calculate the prime factors of 88559 and 88563.

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 88563

Prime factors of 88563 are 3, 53, 557. Prime factorization of 88563 in exponential form is:

88563 = 31 × 531 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 88559 and 88563.

LCM(88559,88563) = 191 × 591 × 791 × 31 × 531 × 5571
LCM(88559,88563) = 7843050717