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What is the Least Common Multiple of 80463 and 80471?

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 80471 is 6474938073.

LCM(80463,80471) = 6474938073

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Least Common Multiple of 80463 and 80471 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 80471, than apply into the LCM equation.

GCF(80463,80471) = 1
LCM(80463,80471) = ( 80463 × 80471) / 1
LCM(80463,80471) = 6474938073 / 1
LCM(80463,80471) = 6474938073

Least Common Multiple (LCM) of 80463 and 80471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80463 and 80471. First we will calculate the prime factors of 80463 and 80471.

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 80471

Prime factors of 80471 are 80471. Prime factorization of 80471 in exponential form is:

80471 = 804711

Now multiplying the highest exponent prime factors to calculate the LCM of 80463 and 80471.

LCM(80463,80471) = 31 × 268211 × 804711
LCM(80463,80471) = 6474938073