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What is the Least Common Multiple of 88555 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 88555 and 88563 is 7842696465.

LCM(88555,88563) = 7842696465

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Least Common Multiple of 88555 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 88555 and 88563, than apply into the LCM equation.

GCF(88555,88563) = 1
LCM(88555,88563) = ( 88555 × 88563) / 1
LCM(88555,88563) = 7842696465 / 1
LCM(88555,88563) = 7842696465

Least Common Multiple (LCM) of 88555 and 88563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88555 and 88563. First we will calculate the prime factors of 88555 and 88563.

Prime Factorization of 88555

Prime factors of 88555 are 5, 89, 199. Prime factorization of 88555 in exponential form is:

88555 = 51 × 891 × 1991

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 88555 and 88563.

LCM(88555,88563) = 51 × 891 × 1991 × 31 × 531 × 5571
LCM(88555,88563) = 7842696465