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What is the Least Common Multiple of 2804 and 2810?

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 2804 and 2810 is 3939620.

LCM(2804,2810) = 3939620

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Least Common Multiple of 2804 and 2810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2804 and 2810, than apply into the LCM equation.

GCF(2804,2810) = 2
LCM(2804,2810) = ( 2804 × 2810) / 2
LCM(2804,2810) = 7879240 / 2
LCM(2804,2810) = 3939620

Least Common Multiple (LCM) of 2804 and 2810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2804 and 2810. First we will calculate the prime factors of 2804 and 2810.

Prime Factorization of 2804

Prime factors of 2804 are 2, 701. Prime factorization of 2804 in exponential form is:

2804 = 22 × 7011

Prime Factorization of 2810

Prime factors of 2810 are 2, 5, 281. Prime factorization of 2810 in exponential form is:

2810 = 21 × 51 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 2804 and 2810.

LCM(2804,2810) = 22 × 7011 × 51 × 2811
LCM(2804,2810) = 3939620