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What is the Least Common Multiple of 88687 and 88699?

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 88687 and 88699 is 7866448213.

LCM(88687,88699) = 7866448213

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Least Common Multiple of 88687 and 88699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88687 and 88699, than apply into the LCM equation.

GCF(88687,88699) = 1
LCM(88687,88699) = ( 88687 × 88699) / 1
LCM(88687,88699) = 7866448213 / 1
LCM(88687,88699) = 7866448213

Least Common Multiple (LCM) of 88687 and 88699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88687 and 88699. First we will calculate the prime factors of 88687 and 88699.

Prime Factorization of 88687

Prime factors of 88687 are 131, 677. Prime factorization of 88687 in exponential form is:

88687 = 1311 × 6771

Prime Factorization of 88699

Prime factors of 88699 are 13, 6823. Prime factorization of 88699 in exponential form is:

88699 = 131 × 68231

Now multiplying the highest exponent prime factors to calculate the LCM of 88687 and 88699.

LCM(88687,88699) = 1311 × 6771 × 131 × 68231
LCM(88687,88699) = 7866448213