Least Common Multiple of 2874 and 2881

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 2881 the smallest integer that is 8279994 that is divisible by both numbers.

Least Common Multiple (LCM) of 2874 and 2881 is 8279994.

LCM(2874,2881) = 8279994

LCM of 2874 and 2881

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

LCM of:
and

Least Common Multiple of 2874 and 2881

LCM of 2874 and 2881 is 8279994

Least common multiple can be found by multiplying the highest exponent prime factors of 2874 and 2881. First we will calculate the prime factors of 2874 and 2881.

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 2881


43 2881
67 67
1

Prime factors of 2881 are 43,67. Prime factorization of 2881 in exponential form is:

2881 = 431×671

Now multiplying the highest exponent prime factors to calculate the LCM of 2874 and 2881.

LCM(2874,2881) = 21×31×431×671×4791
LCM(2874,2881) = 8279994

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 2881

List of positive integer factors of 2881 that divides 2881 without a remainder.

1, 43, 67, 2881

Least Common Multiple of 2874 and 2881 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 2881, than apply into the LCM equation.

GCF(2874,2881) = 1
LCM(2874,2881) = ( 2874 × 2881) / 1
LCM(2874,2881) = 8279994 / 1
LCM(2874,2881) = 8279994

Properties of LCM 2874 and 2881

(i) The LCM of 2881 and 2874 is associative

LCM of 2874 and 2881 = LCM of 2881 and 2874

Related Least Common Multiples of 2874

Related Least Common Multiples of 2881

Frequently Asked Questions on LCM of 2874 and 2881

1. What is the LCM of 2874 and 2881?

Answer: LCM of 2874 and 2881 is 8279994.

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 2881?

Answer: Factors of 2881 are 1, 43, 67, 2881. There are 4 integers that are factors of 2881. The greatest factor of 2881 is 2881.

4. How to Find the LCM of 2874 and 2881?

Answer:

Least Common Multiple of 2874 and 2881 = 8279994

Step 1: Find the prime factorization of 2874

2874 = 2 x 3 x 479

Step 2: Find the prime factorization of 2881

2881 = 43 x 67

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

LCM = 8279994 = 2 x 3 x 43 x 67 x 479

Step 4: Therefore, the least common multiple of 2874 and 2881 is 8279994.