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What is the Least Common Multiple of 86234 and 86243?

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 86234 and 86243 is 7437078862.

LCM(86234,86243) = 7437078862

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Least Common Multiple of 86234 and 86243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86234 and 86243, than apply into the LCM equation.

GCF(86234,86243) = 1
LCM(86234,86243) = ( 86234 × 86243) / 1
LCM(86234,86243) = 7437078862 / 1
LCM(86234,86243) = 7437078862

Least Common Multiple (LCM) of 86234 and 86243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86234 and 86243. First we will calculate the prime factors of 86234 and 86243.

Prime Factorization of 86234

Prime factors of 86234 are 2, 43117. Prime factorization of 86234 in exponential form is:

86234 = 21 × 431171

Prime Factorization of 86243

Prime factors of 86243 are 86243. Prime factorization of 86243 in exponential form is:

86243 = 862431

Now multiplying the highest exponent prime factors to calculate the LCM of 86234 and 86243.

LCM(86234,86243) = 21 × 431171 × 862431
LCM(86234,86243) = 7437078862