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What is the Least Common Multiple of 86018 and 86037?

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 86018 and 86037 is 7400730666.

LCM(86018,86037) = 7400730666

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Least Common Multiple of 86018 and 86037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86018 and 86037, than apply into the LCM equation.

GCF(86018,86037) = 1
LCM(86018,86037) = ( 86018 × 86037) / 1
LCM(86018,86037) = 7400730666 / 1
LCM(86018,86037) = 7400730666

Least Common Multiple (LCM) of 86018 and 86037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86018 and 86037. First we will calculate the prime factors of 86018 and 86037.

Prime Factorization of 86018

Prime factors of 86018 are 2, 41, 1049. Prime factorization of 86018 in exponential form is:

86018 = 21 × 411 × 10491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 86018 and 86037.

LCM(86018,86037) = 21 × 411 × 10491 × 31 × 71 × 171 × 2411
LCM(86018,86037) = 7400730666