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What is the Least Common Multiple of 81499 and 81503?

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 81499 and 81503 is 6642412997.

LCM(81499,81503) = 6642412997

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Least Common Multiple of 81499 and 81503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81499 and 81503, than apply into the LCM equation.

GCF(81499,81503) = 1
LCM(81499,81503) = ( 81499 × 81503) / 1
LCM(81499,81503) = 6642412997 / 1
LCM(81499,81503) = 6642412997

Least Common Multiple (LCM) of 81499 and 81503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81499 and 81503. First we will calculate the prime factors of 81499 and 81503.

Prime Factorization of 81499

Prime factors of 81499 are 11, 31, 239. Prime factorization of 81499 in exponential form is:

81499 = 111 × 311 × 2391

Prime Factorization of 81503

Prime factors of 81503 are 149, 547. Prime factorization of 81503 in exponential form is:

81503 = 1491 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 81499 and 81503.

LCM(81499,81503) = 111 × 311 × 2391 × 1491 × 5471
LCM(81499,81503) = 6642412997