Least Common Multiple of 2796 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 2796 and 2804 the smallest integer that is 1959996 that is divisible by both numbers.

Least Common Multiple (LCM) of 2796 and 2804 is 1959996.

LCM(2796,2804) = 1959996

LCM of 2796 and 2804

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

LCM of:
and

Least Common Multiple of 2796 and 2804

LCM of 2796 and 2804 is 1959996

Least common multiple can be found by multiplying the highest exponent prime factors of 2796 and 2804. First we will calculate the prime factors of 2796 and 2804.

Prime Factorization of 2796


2 2796
2 1398
3 699
233 233
1

Prime factors of 2796 are 2, 3,233. Prime factorization of 2796 in exponential form is:

2796 = 22×31×2331

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 2796 and 2804.

LCM(2796,2804) = 22×31×2331×7011
LCM(2796,2804) = 1959996

Factors of 2796

List of positive integer factors of 2796 that divides 2796 without a remainder.

1, 2, 3, 4, 6, 12, 233, 466, 699, 932, 1398, 2796

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 2796 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 2796 and 2804, than apply into the LCM equation.

GCF(2796,2804) = 4
LCM(2796,2804) = ( 2796 × 2804) / 4
LCM(2796,2804) = 7839984 / 4
LCM(2796,2804) = 1959996

Properties of LCM 2796 and 2804

(i) The LCM of 2804 and 2796 is associative

LCM of 2796 and 2804 = LCM of 2804 and 2796

Related Least Common Multiples of 2796

Related Least Common Multiples of 2804

Frequently Asked Questions on LCM of 2796 and 2804

1. What is the LCM of 2796 and 2804?

Answer: LCM of 2796 and 2804 is 1959996.

2. What are the Factors of 2796?

Answer: Factors of 2796 are 1, 2, 3, 4, 6, 12, 233, 466, 699, 932, 1398, 2796. There are 12 integers that are factors of 2796. The greatest factor of 2796 is 2796.

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 2796 and 2804?

Answer:

Least Common Multiple of 2796 and 2804 = 1959996

Step 1: Find the prime factorization of 2796

2796 = 2 x 2 x 3 x 233

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 = 1959996 = 2 x 2 x 3 x 233 x 701

Step 4: Therefore, the least common multiple of 2796 and 2804 is 1959996.