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What is the Least Common Multiple of 80183 and 80189?

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 80183 and 80189 is 6429794587.

LCM(80183,80189) = 6429794587

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Least Common Multiple of 80183 and 80189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80183 and 80189, than apply into the LCM equation.

GCF(80183,80189) = 1
LCM(80183,80189) = ( 80183 × 80189) / 1
LCM(80183,80189) = 6429794587 / 1
LCM(80183,80189) = 6429794587

Least Common Multiple (LCM) of 80183 and 80189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80183 and 80189. First we will calculate the prime factors of 80183 and 80189.

Prime Factorization of 80183

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

80183 = 1811 × 4431

Prime Factorization of 80189

Prime factors of 80189 are 17, 53, 89. Prime factorization of 80189 in exponential form is:

80189 = 171 × 531 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 80183 and 80189.

LCM(80183,80189) = 1811 × 4431 × 171 × 531 × 891
LCM(80183,80189) = 6429794587