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What is the Least Common Multiple of 80499 and 80503?

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 80499 and 80503 is 6480410997.

LCM(80499,80503) = 6480410997

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Least Common Multiple of 80499 and 80503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80499 and 80503, than apply into the LCM equation.

GCF(80499,80503) = 1
LCM(80499,80503) = ( 80499 × 80503) / 1
LCM(80499,80503) = 6480410997 / 1
LCM(80499,80503) = 6480410997

Least Common Multiple (LCM) of 80499 and 80503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80499 and 80503. First we will calculate the prime factors of 80499 and 80503.

Prime Factorization of 80499

Prime factors of 80499 are 3, 26833. Prime factorization of 80499 in exponential form is:

80499 = 31 × 268331

Prime Factorization of 80503

Prime factors of 80503 are 19, 223. Prime factorization of 80503 in exponential form is:

80503 = 192 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 80499 and 80503.

LCM(80499,80503) = 31 × 268331 × 192 × 2231
LCM(80499,80503) = 6480410997