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What is the Least Common Multiple of 2821 and 2838?

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 2821 and 2838 is 8005998.

LCM(2821,2838) = 8005998

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Least Common Multiple of 2821 and 2838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2821 and 2838, than apply into the LCM equation.

GCF(2821,2838) = 1
LCM(2821,2838) = ( 2821 × 2838) / 1
LCM(2821,2838) = 8005998 / 1
LCM(2821,2838) = 8005998

Least Common Multiple (LCM) of 2821 and 2838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2821 and 2838. First we will calculate the prime factors of 2821 and 2838.

Prime Factorization of 2821

Prime factors of 2821 are 7, 13, 31. Prime factorization of 2821 in exponential form is:

2821 = 71 × 131 × 311

Prime Factorization of 2838

Prime factors of 2838 are 2, 3, 11, 43. Prime factorization of 2838 in exponential form is:

2838 = 21 × 31 × 111 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 2821 and 2838.

LCM(2821,2838) = 71 × 131 × 311 × 21 × 31 × 111 × 431
LCM(2821,2838) = 8005998