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What is the Least Common Multiple of 80183 and 80190?

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 80190 is 6429874770.

LCM(80183,80190) = 6429874770

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Least Common Multiple of 80183 and 80190 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 80190, than apply into the LCM equation.

GCF(80183,80190) = 1
LCM(80183,80190) = ( 80183 × 80190) / 1
LCM(80183,80190) = 6429874770 / 1
LCM(80183,80190) = 6429874770

Least Common Multiple (LCM) of 80183 and 80190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80183 and 80190. First we will calculate the prime factors of 80183 and 80190.

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 80190

Prime factors of 80190 are 2, 3, 5, 11. Prime factorization of 80190 in exponential form is:

80190 = 21 × 36 × 51 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 80183 and 80190.

LCM(80183,80190) = 1811 × 4431 × 21 × 36 × 51 × 111
LCM(80183,80190) = 6429874770