Least Common Multiple of 2874 and 2876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2874 and 2876 the smallest integer that is 4132812 that is divisible by both numbers.

Least Common Multiple (LCM) of 2874 and 2876 is 4132812.

LCM(2874,2876) = 4132812

LCM of 2874 and 2876

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

LCM of:
and

Least Common Multiple of 2874 and 2876

LCM of 2874 and 2876 is 4132812

Least common multiple can be found by multiplying the highest exponent prime factors of 2874 and 2876. First we will calculate the prime factors of 2874 and 2876.

Prime Factorization of 2874


2 2874
3 1437
479 479
1

Prime factors of 2874 are 2, 3,479. Prime factorization of 2874 in exponential form is:

2874 = 21×31×4791

Prime Factorization of 2876


2 2876
2 1438
719 719
1

Prime factors of 2876 are 2,719. Prime factorization of 2876 in exponential form is:

2876 = 22×7191

Now multiplying the highest exponent prime factors to calculate the LCM of 2874 and 2876.

LCM(2874,2876) = 22×31×4791×7191
LCM(2874,2876) = 4132812

Factors of 2874

List of positive integer factors of 2874 that divides 2874 without a remainder.

1, 2, 3, 6, 479, 958, 1437, 2874

Factors of 2876

List of positive integer factors of 2876 that divides 2876 without a remainder.

1, 2, 4, 719, 1438, 2876

Least Common Multiple of 2874 and 2876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2874 and 2876, than apply into the LCM equation.

GCF(2874,2876) = 2
LCM(2874,2876) = ( 2874 × 2876) / 2
LCM(2874,2876) = 8265624 / 2
LCM(2874,2876) = 4132812

Properties of LCM 2874 and 2876

(i) The LCM of 2876 and 2874 is associative

LCM of 2874 and 2876 = LCM of 2876 and 2874

Related Least Common Multiples of 2874

Related Least Common Multiples of 2876

Frequently Asked Questions on LCM of 2874 and 2876

1. What is the LCM of 2874 and 2876?

Answer: LCM of 2874 and 2876 is 4132812.

2. What are the Factors of 2874?

Answer: Factors of 2874 are 1, 2, 3, 6, 479, 958, 1437, 2874. There are 8 integers that are factors of 2874. The greatest factor of 2874 is 2874.

3. What are the Factors of 2876?

Answer: Factors of 2876 are 1, 2, 4, 719, 1438, 2876. There are 6 integers that are factors of 2876. The greatest factor of 2876 is 2876.

4. How to Find the LCM of 2874 and 2876?

Answer:

Least Common Multiple of 2874 and 2876 = 4132812

Step 1: Find the prime factorization of 2874

2874 = 2 x 3 x 479

Step 2: Find the prime factorization of 2876

2876 = 2 x 2 x 719

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

LCM = 4132812 = 2 x 2 x 3 x 479 x 719

Step 4: Therefore, the least common multiple of 2874 and 2876 is 4132812.