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What is the Least Common Multiple of 86017 and 86026?

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 86017 and 86026 is 7399698442.

LCM(86017,86026) = 7399698442

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Least Common Multiple of 86017 and 86026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86017 and 86026, than apply into the LCM equation.

GCF(86017,86026) = 1
LCM(86017,86026) = ( 86017 × 86026) / 1
LCM(86017,86026) = 7399698442 / 1
LCM(86017,86026) = 7399698442

Least Common Multiple (LCM) of 86017 and 86026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86017 and 86026. First we will calculate the prime factors of 86017 and 86026.

Prime Factorization of 86017

Prime factors of 86017 are 86017. Prime factorization of 86017 in exponential form is:

86017 = 860171

Prime Factorization of 86026

Prime factors of 86026 are 2, 43013. Prime factorization of 86026 in exponential form is:

86026 = 21 × 430131

Now multiplying the highest exponent prime factors to calculate the LCM of 86017 and 86026.

LCM(86017,86026) = 860171 × 21 × 430131
LCM(86017,86026) = 7399698442