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What is the Least Common Multiple of 80171 and 80183?

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 80171 and 80183 is 6428351293.

LCM(80171,80183) = 6428351293

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Least Common Multiple of 80171 and 80183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80171 and 80183, than apply into the LCM equation.

GCF(80171,80183) = 1
LCM(80171,80183) = ( 80171 × 80183) / 1
LCM(80171,80183) = 6428351293 / 1
LCM(80171,80183) = 6428351293

Least Common Multiple (LCM) of 80171 and 80183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80171 and 80183. First we will calculate the prime factors of 80171 and 80183.

Prime Factorization of 80171

Prime factors of 80171 are 7, 13, 881. Prime factorization of 80171 in exponential form is:

80171 = 71 × 131 × 8811

Prime Factorization of 80183

Prime factors of 80183 are 181, 443. Prime factorization of 80183 in exponential form is:

80183 = 1811 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 80171 and 80183.

LCM(80171,80183) = 71 × 131 × 8811 × 1811 × 4431
LCM(80171,80183) = 6428351293