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What is the Least Common Multiple of 86027 and 86045?

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 86027 and 86045 is 7402193215.

LCM(86027,86045) = 7402193215

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Least Common Multiple of 86027 and 86045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86027 and 86045, than apply into the LCM equation.

GCF(86027,86045) = 1
LCM(86027,86045) = ( 86027 × 86045) / 1
LCM(86027,86045) = 7402193215 / 1
LCM(86027,86045) = 7402193215

Least Common Multiple (LCM) of 86027 and 86045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86027 and 86045. First we will calculate the prime factors of 86027 and 86045.

Prime Factorization of 86027

Prime factors of 86027 are 86027. Prime factorization of 86027 in exponential form is:

86027 = 860271

Prime Factorization of 86045

Prime factors of 86045 are 5, 17209. Prime factorization of 86045 in exponential form is:

86045 = 51 × 172091

Now multiplying the highest exponent prime factors to calculate the LCM of 86027 and 86045.

LCM(86027,86045) = 860271 × 51 × 172091
LCM(86027,86045) = 7402193215