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What is the Least Common Multiple of 86497 and 86503?

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 86497 and 86503 is 7482249991.

LCM(86497,86503) = 7482249991

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Least Common Multiple of 86497 and 86503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86497 and 86503, than apply into the LCM equation.

GCF(86497,86503) = 1
LCM(86497,86503) = ( 86497 × 86503) / 1
LCM(86497,86503) = 7482249991 / 1
LCM(86497,86503) = 7482249991

Least Common Multiple (LCM) of 86497 and 86503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86497 and 86503. First we will calculate the prime factors of 86497 and 86503.

Prime Factorization of 86497

Prime factors of 86497 are 67, 1291. Prime factorization of 86497 in exponential form is:

86497 = 671 × 12911

Prime Factorization of 86503

Prime factors of 86503 are 23, 3761. Prime factorization of 86503 in exponential form is:

86503 = 231 × 37611

Now multiplying the highest exponent prime factors to calculate the LCM of 86497 and 86503.

LCM(86497,86503) = 671 × 12911 × 231 × 37611
LCM(86497,86503) = 7482249991