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What is the Least Common Multiple of 80463 and 80473?

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 80473 is 6475098999.

LCM(80463,80473) = 6475098999

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Least Common Multiple of 80463 and 80473 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 80473, than apply into the LCM equation.

GCF(80463,80473) = 1
LCM(80463,80473) = ( 80463 × 80473) / 1
LCM(80463,80473) = 6475098999 / 1
LCM(80463,80473) = 6475098999

Least Common Multiple (LCM) of 80463 and 80473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80463 and 80473. First we will calculate the prime factors of 80463 and 80473.

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 80473

Prime factors of 80473 are 80473. Prime factorization of 80473 in exponential form is:

80473 = 804731

Now multiplying the highest exponent prime factors to calculate the LCM of 80463 and 80473.

LCM(80463,80473) = 31 × 268211 × 804731
LCM(80463,80473) = 6475098999