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What is the Least Common Multiple of 86282 and 86287?

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 86282 and 86287 is 7445014934.

LCM(86282,86287) = 7445014934

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Least Common Multiple of 86282 and 86287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86282 and 86287, than apply into the LCM equation.

GCF(86282,86287) = 1
LCM(86282,86287) = ( 86282 × 86287) / 1
LCM(86282,86287) = 7445014934 / 1
LCM(86282,86287) = 7445014934

Least Common Multiple (LCM) of 86282 and 86287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86282 and 86287. First we will calculate the prime factors of 86282 and 86287.

Prime Factorization of 86282

Prime factors of 86282 are 2, 7, 6163. Prime factorization of 86282 in exponential form is:

86282 = 21 × 71 × 61631

Prime Factorization of 86287

Prime factors of 86287 are 86287. Prime factorization of 86287 in exponential form is:

86287 = 862871

Now multiplying the highest exponent prime factors to calculate the LCM of 86282 and 86287.

LCM(86282,86287) = 21 × 71 × 61631 × 862871
LCM(86282,86287) = 7445014934