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What is the Least Common Multiple of 80429 and 80449?

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 80429 and 80449 is 6470432621.

LCM(80429,80449) = 6470432621

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Least Common Multiple of 80429 and 80449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80429 and 80449, than apply into the LCM equation.

GCF(80429,80449) = 1
LCM(80429,80449) = ( 80429 × 80449) / 1
LCM(80429,80449) = 6470432621 / 1
LCM(80429,80449) = 6470432621

Least Common Multiple (LCM) of 80429 and 80449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80429 and 80449. First we will calculate the prime factors of 80429 and 80449.

Prime Factorization of 80429

Prime factors of 80429 are 80429. Prime factorization of 80429 in exponential form is:

80429 = 804291

Prime Factorization of 80449

Prime factors of 80449 are 80449. Prime factorization of 80449 in exponential form is:

80449 = 804491

Now multiplying the highest exponent prime factors to calculate the LCM of 80429 and 80449.

LCM(80429,80449) = 804291 × 804491
LCM(80429,80449) = 6470432621