Least Common Multiple of 2804 and 2812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2804 and 2812 the smallest integer that is 1971212 that is divisible by both numbers.

Least Common Multiple (LCM) of 2804 and 2812 is 1971212.

LCM(2804,2812) = 1971212

LCM of 2804 and 2812

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

LCM of:
and

Least Common Multiple of 2804 and 2812

LCM of 2804 and 2812 is 1971212

Least common multiple can be found by multiplying the highest exponent prime factors of 2804 and 2812. First we will calculate the prime factors of 2804 and 2812.

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

Prime Factorization of 2812


2 2812
2 1406
19 703
37 37
1

Prime factors of 2812 are 2, 19,37. Prime factorization of 2812 in exponential form is:

2812 = 22×191×371

Now multiplying the highest exponent prime factors to calculate the LCM of 2804 and 2812.

LCM(2804,2812) = 22×191×371×7011
LCM(2804,2812) = 1971212

Factors of 2804

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

1, 2, 4, 701, 1402, 2804

Factors of 2812

List of positive integer factors of 2812 that divides 2812 without a remainder.

1, 2, 4, 19, 37, 38, 74, 76, 148, 703, 1406, 2812

Least Common Multiple of 2804 and 2812 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 2812, than apply into the LCM equation.

GCF(2804,2812) = 4
LCM(2804,2812) = ( 2804 × 2812) / 4
LCM(2804,2812) = 7884848 / 4
LCM(2804,2812) = 1971212

Properties of LCM 2804 and 2812

(i) The LCM of 2812 and 2804 is associative

LCM of 2804 and 2812 = LCM of 2812 and 2804

Related Least Common Multiples of 2804

Related Least Common Multiples of 2812

Frequently Asked Questions on LCM of 2804 and 2812

1. What is the LCM of 2804 and 2812?

Answer: LCM of 2804 and 2812 is 1971212.

2. 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.

3. What are the Factors of 2812?

Answer: Factors of 2812 are 1, 2, 4, 19, 37, 38, 74, 76, 148, 703, 1406, 2812. There are 12 integers that are factors of 2812. The greatest factor of 2812 is 2812.

4. How to Find the LCM of 2804 and 2812?

Answer:

Least Common Multiple of 2804 and 2812 = 1971212

Step 1: Find the prime factorization of 2804

2804 = 2 x 2 x 701

Step 2: Find the prime factorization of 2812

2812 = 2 x 2 x 19 x 37

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

LCM = 1971212 = 2 x 2 x 19 x 37 x 701

Step 4: Therefore, the least common multiple of 2804 and 2812 is 1971212.