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What is the Least Common Multiple of 86903 and 86915?

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 86903 and 86915 is 7553174245.

LCM(86903,86915) = 7553174245

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Least Common Multiple of 86903 and 86915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86903 and 86915, than apply into the LCM equation.

GCF(86903,86915) = 1
LCM(86903,86915) = ( 86903 × 86915) / 1
LCM(86903,86915) = 7553174245 / 1
LCM(86903,86915) = 7553174245

Least Common Multiple (LCM) of 86903 and 86915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86903 and 86915. First we will calculate the prime factors of 86903 and 86915.

Prime Factorization of 86903

Prime factors of 86903 are 43, 47. Prime factorization of 86903 in exponential form is:

86903 = 432 × 471

Prime Factorization of 86915

Prime factors of 86915 are 5, 17383. Prime factorization of 86915 in exponential form is:

86915 = 51 × 173831

Now multiplying the highest exponent prime factors to calculate the LCM of 86903 and 86915.

LCM(86903,86915) = 432 × 471 × 51 × 173831
LCM(86903,86915) = 7553174245