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What is the Least Common Multiple of 86347 and 86351?

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 86347 and 86351 is 7456149797.

LCM(86347,86351) = 7456149797

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Least Common Multiple of 86347 and 86351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86347 and 86351, than apply into the LCM equation.

GCF(86347,86351) = 1
LCM(86347,86351) = ( 86347 × 86351) / 1
LCM(86347,86351) = 7456149797 / 1
LCM(86347,86351) = 7456149797

Least Common Multiple (LCM) of 86347 and 86351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86347 and 86351. First we will calculate the prime factors of 86347 and 86351.

Prime Factorization of 86347

Prime factors of 86347 are 79, 1093. Prime factorization of 86347 in exponential form is:

86347 = 791 × 10931

Prime Factorization of 86351

Prime factors of 86351 are 86351. Prime factorization of 86351 in exponential form is:

86351 = 863511

Now multiplying the highest exponent prime factors to calculate the LCM of 86347 and 86351.

LCM(86347,86351) = 791 × 10931 × 863511
LCM(86347,86351) = 7456149797