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What is the Least Common Multiple of 80282 and 80286?

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 80282 and 80286 is 3222760326.

LCM(80282,80286) = 3222760326

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Least Common Multiple of 80282 and 80286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80282 and 80286, than apply into the LCM equation.

GCF(80282,80286) = 2
LCM(80282,80286) = ( 80282 × 80286) / 2
LCM(80282,80286) = 6445520652 / 2
LCM(80282,80286) = 3222760326

Least Common Multiple (LCM) of 80282 and 80286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80282 and 80286. First we will calculate the prime factors of 80282 and 80286.

Prime Factorization of 80282

Prime factors of 80282 are 2, 137, 293. Prime factorization of 80282 in exponential form is:

80282 = 21 × 1371 × 2931

Prime Factorization of 80286

Prime factors of 80286 are 2, 3, 13381. Prime factorization of 80286 in exponential form is:

80286 = 21 × 31 × 133811

Now multiplying the highest exponent prime factors to calculate the LCM of 80282 and 80286.

LCM(80282,80286) = 21 × 1371 × 2931 × 31 × 133811
LCM(80282,80286) = 3222760326