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What is the Least Common Multiple of 86037 and 86055?

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 86037 and 86055 is 2467971345.

LCM(86037,86055) = 2467971345

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Least Common Multiple of 86037 and 86055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86037 and 86055, than apply into the LCM equation.

GCF(86037,86055) = 3
LCM(86037,86055) = ( 86037 × 86055) / 3
LCM(86037,86055) = 7403914035 / 3
LCM(86037,86055) = 2467971345

Least Common Multiple (LCM) of 86037 and 86055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86037 and 86055. First we will calculate the prime factors of 86037 and 86055.

Prime Factorization of 86037

Prime factors of 86037 are 3, 7, 17, 241. Prime factorization of 86037 in exponential form is:

86037 = 31 × 71 × 171 × 2411

Prime Factorization of 86055

Prime factors of 86055 are 3, 5, 5737. Prime factorization of 86055 in exponential form is:

86055 = 31 × 51 × 57371

Now multiplying the highest exponent prime factors to calculate the LCM of 86037 and 86055.

LCM(86037,86055) = 31 × 71 × 171 × 2411 × 51 × 57371
LCM(86037,86055) = 2467971345