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What is the Least Common Multiple of 80423 and 80427?

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 80423 and 80427 is 6468180621.

LCM(80423,80427) = 6468180621

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Least Common Multiple of 80423 and 80427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80423 and 80427, than apply into the LCM equation.

GCF(80423,80427) = 1
LCM(80423,80427) = ( 80423 × 80427) / 1
LCM(80423,80427) = 6468180621 / 1
LCM(80423,80427) = 6468180621

Least Common Multiple (LCM) of 80423 and 80427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80423 and 80427. First we will calculate the prime factors of 80423 and 80427.

Prime Factorization of 80423

Prime factors of 80423 are 7, 11489. Prime factorization of 80423 in exponential form is:

80423 = 71 × 114891

Prime Factorization of 80427

Prime factors of 80427 are 3, 17, 19, 83. Prime factorization of 80427 in exponential form is:

80427 = 31 × 171 × 191 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 80423 and 80427.

LCM(80423,80427) = 71 × 114891 × 31 × 171 × 191 × 831
LCM(80423,80427) = 6468180621