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What is the Least Common Multiple of 80399 and 80411?

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 80399 and 80411 is 6464963989.

LCM(80399,80411) = 6464963989

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Least Common Multiple of 80399 and 80411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80399 and 80411, than apply into the LCM equation.

GCF(80399,80411) = 1
LCM(80399,80411) = ( 80399 × 80411) / 1
LCM(80399,80411) = 6464963989 / 1
LCM(80399,80411) = 6464963989

Least Common Multiple (LCM) of 80399 and 80411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80399 and 80411. First we will calculate the prime factors of 80399 and 80411.

Prime Factorization of 80399

Prime factors of 80399 are 11, 7309. Prime factorization of 80399 in exponential form is:

80399 = 111 × 73091

Prime Factorization of 80411

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

80411 = 1911 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 80399 and 80411.

LCM(80399,80411) = 111 × 73091 × 1911 × 4211
LCM(80399,80411) = 6464963989