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What is the Least Common Multiple of 80336 and 80351?

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 80336 and 80351 is 6455077936.

LCM(80336,80351) = 6455077936

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Least Common Multiple of 80336 and 80351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80336 and 80351, than apply into the LCM equation.

GCF(80336,80351) = 1
LCM(80336,80351) = ( 80336 × 80351) / 1
LCM(80336,80351) = 6455077936 / 1
LCM(80336,80351) = 6455077936

Least Common Multiple (LCM) of 80336 and 80351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80336 and 80351. First we will calculate the prime factors of 80336 and 80351.

Prime Factorization of 80336

Prime factors of 80336 are 2, 5021. Prime factorization of 80336 in exponential form is:

80336 = 24 × 50211

Prime Factorization of 80351

Prime factors of 80351 are 19, 4229. Prime factorization of 80351 in exponential form is:

80351 = 191 × 42291

Now multiplying the highest exponent prime factors to calculate the LCM of 80336 and 80351.

LCM(80336,80351) = 24 × 50211 × 191 × 42291
LCM(80336,80351) = 6455077936