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What is the Least Common Multiple of 86137 and 86142?

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 86137 and 86142 is 7420013454.

LCM(86137,86142) = 7420013454

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Least Common Multiple of 86137 and 86142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86137 and 86142, than apply into the LCM equation.

GCF(86137,86142) = 1
LCM(86137,86142) = ( 86137 × 86142) / 1
LCM(86137,86142) = 7420013454 / 1
LCM(86137,86142) = 7420013454

Least Common Multiple (LCM) of 86137 and 86142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86137 and 86142. First we will calculate the prime factors of 86137 and 86142.

Prime Factorization of 86137

Prime factors of 86137 are 86137. Prime factorization of 86137 in exponential form is:

86137 = 861371

Prime Factorization of 86142

Prime factors of 86142 are 2, 3, 7, 293. Prime factorization of 86142 in exponential form is:

86142 = 21 × 31 × 72 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 86137 and 86142.

LCM(86137,86142) = 861371 × 21 × 31 × 72 × 2931
LCM(86137,86142) = 7420013454