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What is the Least Common Multiple of 2829 and 2835?

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 2829 and 2835 is 2673405.

LCM(2829,2835) = 2673405

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Least Common Multiple of 2829 and 2835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2829 and 2835, than apply into the LCM equation.

GCF(2829,2835) = 3
LCM(2829,2835) = ( 2829 × 2835) / 3
LCM(2829,2835) = 8020215 / 3
LCM(2829,2835) = 2673405

Least Common Multiple (LCM) of 2829 and 2835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2829 and 2835. First we will calculate the prime factors of 2829 and 2835.

Prime Factorization of 2829

Prime factors of 2829 are 3, 23, 41. Prime factorization of 2829 in exponential form is:

2829 = 31 × 231 × 411

Prime Factorization of 2835

Prime factors of 2835 are 3, 5, 7. Prime factorization of 2835 in exponential form is:

2835 = 34 × 51 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 2829 and 2835.

LCM(2829,2835) = 34 × 231 × 411 × 51 × 71
LCM(2829,2835) = 2673405