Least Common Multiple of 2802 and 2804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2802 and 2804 the smallest integer that is 3928404 that is divisible by both numbers.

Least Common Multiple (LCM) of 2802 and 2804 is 3928404.

LCM(2802,2804) = 3928404

LCM of 2802 and 2804

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2802 and 2804

LCM of 2802 and 2804 is 3928404

Least common multiple can be found by multiplying the highest exponent prime factors of 2802 and 2804. First we will calculate the prime factors of 2802 and 2804.

Prime Factorization of 2802


2 2802
3 1401
467 467
1

Prime factors of 2802 are 2, 3,467. Prime factorization of 2802 in exponential form is:

2802 = 21×31×4671

Prime Factorization of 2804


2 2804
2 1402
701 701
1

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

2804 = 22×7011

Now multiplying the highest exponent prime factors to calculate the LCM of 2802 and 2804.

LCM(2802,2804) = 22×31×4671×7011
LCM(2802,2804) = 3928404

Factors of 2802

List of positive integer factors of 2802 that divides 2802 without a remainder.

1, 2, 3, 6, 467, 934, 1401, 2802

Factors of 2804

List of positive integer factors of 2804 that divides 2804 without a remainder.

1, 2, 4, 701, 1402, 2804

Least Common Multiple of 2802 and 2804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2802 and 2804, than apply into the LCM equation.

GCF(2802,2804) = 2
LCM(2802,2804) = ( 2802 × 2804) / 2
LCM(2802,2804) = 7856808 / 2
LCM(2802,2804) = 3928404

Properties of LCM 2802 and 2804

(i) The LCM of 2804 and 2802 is associative

LCM of 2802 and 2804 = LCM of 2804 and 2802

Related Least Common Multiples of 2802

Related Least Common Multiples of 2804

Frequently Asked Questions on LCM of 2802 and 2804

1. What is the LCM of 2802 and 2804?

Answer: LCM of 2802 and 2804 is 3928404.

2. What are the Factors of 2802?

Answer: Factors of 2802 are 1, 2, 3, 6, 467, 934, 1401, 2802. There are 8 integers that are factors of 2802. The greatest factor of 2802 is 2802.

3. What are the Factors of 2804?

Answer: Factors of 2804 are 1, 2, 4, 701, 1402, 2804. There are 6 integers that are factors of 2804. The greatest factor of 2804 is 2804.

4. How to Find the LCM of 2802 and 2804?

Answer:

Least Common Multiple of 2802 and 2804 = 3928404

Step 1: Find the prime factorization of 2802

2802 = 2 x 3 x 467

Step 2: Find the prime factorization of 2804

2804 = 2 x 2 x 701

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 3928404 = 2 x 2 x 3 x 467 x 701

Step 4: Therefore, the least common multiple of 2802 and 2804 is 3928404.