Least Common Multiple of 2874 and 2879

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 2879 the smallest integer that is 8274246 that is divisible by both numbers.

Least Common Multiple (LCM) of 2874 and 2879 is 8274246.

LCM(2874,2879) = 8274246

LCM of 2874 and 2879

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

LCM of:
and

Least Common Multiple of 2874 and 2879

LCM of 2874 and 2879 is 8274246

Least common multiple can be found by multiplying the highest exponent prime factors of 2874 and 2879. First we will calculate the prime factors of 2874 and 2879.

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 2879


2879 2879
1

Prime factors of 2879 are 2879. Prime factorization of 2879 in exponential form is:

2879 = 28791

Now multiplying the highest exponent prime factors to calculate the LCM of 2874 and 2879.

LCM(2874,2879) = 21×31×4791×28791
LCM(2874,2879) = 8274246

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 2879

List of positive integer factors of 2879 that divides 2879 without a remainder.

1, 2879

Least Common Multiple of 2874 and 2879 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 2879, than apply into the LCM equation.

GCF(2874,2879) = 1
LCM(2874,2879) = ( 2874 × 2879) / 1
LCM(2874,2879) = 8274246 / 1
LCM(2874,2879) = 8274246

Properties of LCM 2874 and 2879

(i) The LCM of 2879 and 2874 is associative

LCM of 2874 and 2879 = LCM of 2879 and 2874

Related Least Common Multiples of 2874

Related Least Common Multiples of 2879

Frequently Asked Questions on LCM of 2874 and 2879

1. What is the LCM of 2874 and 2879?

Answer: LCM of 2874 and 2879 is 8274246.

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 2879?

Answer: Factors of 2879 are 1, 2879. There are 2 integers that are factors of 2879. The greatest factor of 2879 is 2879.

4. How to Find the LCM of 2874 and 2879?

Answer:

Least Common Multiple of 2874 and 2879 = 8274246

Step 1: Find the prime factorization of 2874

2874 = 2 x 3 x 479

Step 2: Find the prime factorization of 2879

2879 = 2879

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

LCM = 8274246 = 2 x 3 x 479 x 2879

Step 4: Therefore, the least common multiple of 2874 and 2879 is 8274246.