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What is the Least Common Multiple of 80263 and 80283?

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 80263 and 80283 is 6443754429.

LCM(80263,80283) = 6443754429

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Least Common Multiple of 80263 and 80283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80263 and 80283, than apply into the LCM equation.

GCF(80263,80283) = 1
LCM(80263,80283) = ( 80263 × 80283) / 1
LCM(80263,80283) = 6443754429 / 1
LCM(80263,80283) = 6443754429

Least Common Multiple (LCM) of 80263 and 80283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80263 and 80283. First we will calculate the prime factors of 80263 and 80283.

Prime Factorization of 80263

Prime factors of 80263 are 80263. Prime factorization of 80263 in exponential form is:

80263 = 802631

Prime Factorization of 80283

Prime factors of 80283 are 3, 7, 3823. Prime factorization of 80283 in exponential form is:

80283 = 31 × 71 × 38231

Now multiplying the highest exponent prime factors to calculate the LCM of 80263 and 80283.

LCM(80263,80283) = 802631 × 31 × 71 × 38231
LCM(80263,80283) = 6443754429