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What is the Least Common Multiple of 2816 and 2829?

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 2816 and 2829 is 7966464.

LCM(2816,2829) = 7966464

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Least Common Multiple of 2816 and 2829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2816 and 2829, than apply into the LCM equation.

GCF(2816,2829) = 1
LCM(2816,2829) = ( 2816 × 2829) / 1
LCM(2816,2829) = 7966464 / 1
LCM(2816,2829) = 7966464

Least Common Multiple (LCM) of 2816 and 2829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2816 and 2829. First we will calculate the prime factors of 2816 and 2829.

Prime Factorization of 2816

Prime factors of 2816 are 2, 11. Prime factorization of 2816 in exponential form is:

2816 = 28 × 111

Prime Factorization of 2829

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

2829 = 31 × 231 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 2816 and 2829.

LCM(2816,2829) = 28 × 111 × 31 × 231 × 411
LCM(2816,2829) = 7966464