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What is the Least Common Multiple of 86247 and 86255?

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 86247 and 86255 is 7439234985.

LCM(86247,86255) = 7439234985

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Least Common Multiple of 86247 and 86255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86247 and 86255, than apply into the LCM equation.

GCF(86247,86255) = 1
LCM(86247,86255) = ( 86247 × 86255) / 1
LCM(86247,86255) = 7439234985 / 1
LCM(86247,86255) = 7439234985

Least Common Multiple (LCM) of 86247 and 86255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86247 and 86255. First we will calculate the prime factors of 86247 and 86255.

Prime Factorization of 86247

Prime factors of 86247 are 3, 7, 37. Prime factorization of 86247 in exponential form is:

86247 = 32 × 71 × 372

Prime Factorization of 86255

Prime factors of 86255 are 5, 13, 1327. Prime factorization of 86255 in exponential form is:

86255 = 51 × 131 × 13271

Now multiplying the highest exponent prime factors to calculate the LCM of 86247 and 86255.

LCM(86247,86255) = 32 × 71 × 372 × 51 × 131 × 13271
LCM(86247,86255) = 7439234985