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What is the Least Common Multiple of 80487 and 80497?

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 80487 and 80497 is 6478962039.

LCM(80487,80497) = 6478962039

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Least Common Multiple of 80487 and 80497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80487 and 80497, than apply into the LCM equation.

GCF(80487,80497) = 1
LCM(80487,80497) = ( 80487 × 80497) / 1
LCM(80487,80497) = 6478962039 / 1
LCM(80487,80497) = 6478962039

Least Common Multiple (LCM) of 80487 and 80497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80487 and 80497. First we will calculate the prime factors of 80487 and 80497.

Prime Factorization of 80487

Prime factors of 80487 are 3, 11, 271. Prime factorization of 80487 in exponential form is:

80487 = 33 × 111 × 2711

Prime Factorization of 80497

Prime factors of 80497 are 101, 797. Prime factorization of 80497 in exponential form is:

80497 = 1011 × 7971

Now multiplying the highest exponent prime factors to calculate the LCM of 80487 and 80497.

LCM(80487,80497) = 33 × 111 × 2711 × 1011 × 7971
LCM(80487,80497) = 6478962039