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What is the Least Common Multiple of 80463 and 80483?

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 80463 and 80483 is 6475903629.

LCM(80463,80483) = 6475903629

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Least Common Multiple of 80463 and 80483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80463 and 80483, than apply into the LCM equation.

GCF(80463,80483) = 1
LCM(80463,80483) = ( 80463 × 80483) / 1
LCM(80463,80483) = 6475903629 / 1
LCM(80463,80483) = 6475903629

Least Common Multiple (LCM) of 80463 and 80483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80463 and 80483. First we will calculate the prime factors of 80463 and 80483.

Prime Factorization of 80463

Prime factors of 80463 are 3, 26821. Prime factorization of 80463 in exponential form is:

80463 = 31 × 268211

Prime Factorization of 80483

Prime factors of 80483 are 13, 41, 151. Prime factorization of 80483 in exponential form is:

80483 = 131 × 411 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 80463 and 80483.

LCM(80463,80483) = 31 × 268211 × 131 × 411 × 1511
LCM(80463,80483) = 6475903629