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What is the Least Common Multiple of 2822 and 2834?

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 2834 is 3998774.

LCM(2822,2834) = 3998774

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Least Common Multiple of 2822 and 2834 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 2834, than apply into the LCM equation.

GCF(2822,2834) = 2
LCM(2822,2834) = ( 2822 × 2834) / 2
LCM(2822,2834) = 7997548 / 2
LCM(2822,2834) = 3998774

Least Common Multiple (LCM) of 2822 and 2834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2822 and 2834. First we will calculate the prime factors of 2822 and 2834.

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 2834

Prime factors of 2834 are 2, 13, 109. Prime factorization of 2834 in exponential form is:

2834 = 21 × 131 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 2822 and 2834.

LCM(2822,2834) = 21 × 171 × 831 × 131 × 1091
LCM(2822,2834) = 3998774