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What is the Least Common Multiple of 88567 and 88573?

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 88567 and 88573 is 7844644891.

LCM(88567,88573) = 7844644891

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Least Common Multiple of 88567 and 88573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88567 and 88573, than apply into the LCM equation.

GCF(88567,88573) = 1
LCM(88567,88573) = ( 88567 × 88573) / 1
LCM(88567,88573) = 7844644891 / 1
LCM(88567,88573) = 7844644891

Least Common Multiple (LCM) of 88567 and 88573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88567 and 88573. First we will calculate the prime factors of 88567 and 88573.

Prime Factorization of 88567

Prime factors of 88567 are 31, 2857. Prime factorization of 88567 in exponential form is:

88567 = 311 × 28571

Prime Factorization of 88573

Prime factors of 88573 are 23, 3851. Prime factorization of 88573 in exponential form is:

88573 = 231 × 38511

Now multiplying the highest exponent prime factors to calculate the LCM of 88567 and 88573.

LCM(88567,88573) = 311 × 28571 × 231 × 38511
LCM(88567,88573) = 7844644891