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What is the Least Common Multiple of 80411 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 80411 and 80427 is 6467215497.

LCM(80411,80427) = 6467215497

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Least Common Multiple of 80411 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 80411 and 80427, than apply into the LCM equation.

GCF(80411,80427) = 1
LCM(80411,80427) = ( 80411 × 80427) / 1
LCM(80411,80427) = 6467215497 / 1
LCM(80411,80427) = 6467215497

Least Common Multiple (LCM) of 80411 and 80427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80411 and 80427. First we will calculate the prime factors of 80411 and 80427.

Prime Factorization of 80411

Prime factors of 80411 are 191, 421. Prime factorization of 80411 in exponential form is:

80411 = 1911 × 4211

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 80411 and 80427.

LCM(80411,80427) = 1911 × 4211 × 31 × 171 × 191 × 831
LCM(80411,80427) = 6467215497