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What is the Least Common Multiple of 86687 and 86699?

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 86687 and 86699 is 7515676213.

LCM(86687,86699) = 7515676213

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Least Common Multiple of 86687 and 86699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86687 and 86699, than apply into the LCM equation.

GCF(86687,86699) = 1
LCM(86687,86699) = ( 86687 × 86699) / 1
LCM(86687,86699) = 7515676213 / 1
LCM(86687,86699) = 7515676213

Least Common Multiple (LCM) of 86687 and 86699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86687 and 86699. First we will calculate the prime factors of 86687 and 86699.

Prime Factorization of 86687

Prime factors of 86687 are 23, 3769. Prime factorization of 86687 in exponential form is:

86687 = 231 × 37691

Prime Factorization of 86699

Prime factors of 86699 are 181, 479. Prime factorization of 86699 in exponential form is:

86699 = 1811 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 86687 and 86699.

LCM(86687,86699) = 231 × 37691 × 1811 × 4791
LCM(86687,86699) = 7515676213