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What is the Least Common Multiple of 2822 and 2839?

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 2822 and 2839 is 471274.

LCM(2822,2839) = 471274

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Least Common Multiple of 2822 and 2839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2822 and 2839, than apply into the LCM equation.

GCF(2822,2839) = 17
LCM(2822,2839) = ( 2822 × 2839) / 17
LCM(2822,2839) = 8011658 / 17
LCM(2822,2839) = 471274

Least Common Multiple (LCM) of 2822 and 2839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2822 and 2839. First we will calculate the prime factors of 2822 and 2839.

Prime Factorization of 2822

Prime factors of 2822 are 2, 17, 83. Prime factorization of 2822 in exponential form is:

2822 = 21 × 171 × 831

Prime Factorization of 2839

Prime factors of 2839 are 17, 167. Prime factorization of 2839 in exponential form is:

2839 = 171 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 2822 and 2839.

LCM(2822,2839) = 21 × 171 × 831 × 1671
LCM(2822,2839) = 471274