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What is the Least Common Multiple of 2801 and 2816?

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 2801 and 2816 is 7887616.

LCM(2801,2816) = 7887616

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Least Common Multiple of 2801 and 2816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2801 and 2816, than apply into the LCM equation.

GCF(2801,2816) = 1
LCM(2801,2816) = ( 2801 × 2816) / 1
LCM(2801,2816) = 7887616 / 1
LCM(2801,2816) = 7887616

Least Common Multiple (LCM) of 2801 and 2816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2801 and 2816. First we will calculate the prime factors of 2801 and 2816.

Prime Factorization of 2801

Prime factors of 2801 are 2801. Prime factorization of 2801 in exponential form is:

2801 = 28011

Prime Factorization of 2816

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

2816 = 28 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 2801 and 2816.

LCM(2801,2816) = 28011 × 28 × 111
LCM(2801,2816) = 7887616