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What is the Least Common Multiple of 83271 and 83280?

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 83271 and 83280 is 2311602960.

LCM(83271,83280) = 2311602960

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Least Common Multiple of 83271 and 83280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83271 and 83280, than apply into the LCM equation.

GCF(83271,83280) = 3
LCM(83271,83280) = ( 83271 × 83280) / 3
LCM(83271,83280) = 6934808880 / 3
LCM(83271,83280) = 2311602960

Least Common Multiple (LCM) of 83271 and 83280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83271 and 83280. First we will calculate the prime factors of 83271 and 83280.

Prime Factorization of 83271

Prime factors of 83271 are 3, 41, 677. Prime factorization of 83271 in exponential form is:

83271 = 31 × 411 × 6771

Prime Factorization of 83280

Prime factors of 83280 are 2, 3, 5, 347. Prime factorization of 83280 in exponential form is:

83280 = 24 × 31 × 51 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 83271 and 83280.

LCM(83271,83280) = 31 × 411 × 6771 × 24 × 51 × 3471
LCM(83271,83280) = 2311602960