Least Common Multiple of 2867 and 2874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2867 and 2874 the smallest integer that is 8239758 that is divisible by both numbers.

Least Common Multiple (LCM) of 2867 and 2874 is 8239758.

LCM(2867,2874) = 8239758

LCM of 2867 and 2874

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

LCM of:
and

Least Common Multiple of 2867 and 2874

LCM of 2867 and 2874 is 8239758

Least common multiple can be found by multiplying the highest exponent prime factors of 2867 and 2874. First we will calculate the prime factors of 2867 and 2874.

Prime Factorization of 2867


47 2867
61 61
1

Prime factors of 2867 are 47,61. Prime factorization of 2867 in exponential form is:

2867 = 471×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2867 and 2874.

LCM(2867,2874) = 21×31×471×611×4791
LCM(2867,2874) = 8239758

Factors of 2867

List of positive integer factors of 2867 that divides 2867 without a remainder.

1, 47, 61, 2867

Factors of 2874

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

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

Least Common Multiple of 2867 and 2874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2867 and 2874, than apply into the LCM equation.

GCF(2867,2874) = 1
LCM(2867,2874) = ( 2867 × 2874) / 1
LCM(2867,2874) = 8239758 / 1
LCM(2867,2874) = 8239758

Properties of LCM 2867 and 2874

(i) The LCM of 2874 and 2867 is associative

LCM of 2867 and 2874 = LCM of 2874 and 2867

Related Least Common Multiples of 2867

Related Least Common Multiples of 2874

Frequently Asked Questions on LCM of 2867 and 2874

1. What is the LCM of 2867 and 2874?

Answer: LCM of 2867 and 2874 is 8239758.

2. What are the Factors of 2867?

Answer: Factors of 2867 are 1, 47, 61, 2867. There are 4 integers that are factors of 2867. The greatest factor of 2867 is 2867.

3. 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.

4. How to Find the LCM of 2867 and 2874?

Answer:

Least Common Multiple of 2867 and 2874 = 8239758

Step 1: Find the prime factorization of 2867

2867 = 47 x 61

Step 2: Find the prime factorization of 2874

2874 = 2 x 3 x 479

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

LCM = 8239758 = 2 x 3 x 47 x 61 x 479

Step 4: Therefore, the least common multiple of 2867 and 2874 is 8239758.