Least Common Multiple of 2867 and 2872

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 2872 the smallest integer that is 8234024 that is divisible by both numbers.

Least Common Multiple (LCM) of 2867 and 2872 is 8234024.

LCM(2867,2872) = 8234024

LCM of 2867 and 2872

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

LCM of:
and

Least Common Multiple of 2867 and 2872

LCM of 2867 and 2872 is 8234024

Least common multiple can be found by multiplying the highest exponent prime factors of 2867 and 2872. First we will calculate the prime factors of 2867 and 2872.

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 2872


2 2872
2 1436
2 718
359 359
1

Prime factors of 2872 are 2,359. Prime factorization of 2872 in exponential form is:

2872 = 23×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 2867 and 2872.

LCM(2867,2872) = 23×471×611×3591
LCM(2867,2872) = 8234024

Factors of 2867

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

1, 47, 61, 2867

Factors of 2872

List of positive integer factors of 2872 that divides 2872 without a remainder.

1, 2, 4, 8, 359, 718, 1436, 2872

Least Common Multiple of 2867 and 2872 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 2872, than apply into the LCM equation.

GCF(2867,2872) = 1
LCM(2867,2872) = ( 2867 × 2872) / 1
LCM(2867,2872) = 8234024 / 1
LCM(2867,2872) = 8234024

Properties of LCM 2867 and 2872

(i) The LCM of 2872 and 2867 is associative

LCM of 2867 and 2872 = LCM of 2872 and 2867

Related Least Common Multiples of 2867

Related Least Common Multiples of 2872

Frequently Asked Questions on LCM of 2867 and 2872

1. What is the LCM of 2867 and 2872?

Answer: LCM of 2867 and 2872 is 8234024.

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 2872?

Answer: Factors of 2872 are 1, 2, 4, 8, 359, 718, 1436, 2872. There are 8 integers that are factors of 2872. The greatest factor of 2872 is 2872.

4. How to Find the LCM of 2867 and 2872?

Answer:

Least Common Multiple of 2867 and 2872 = 8234024

Step 1: Find the prime factorization of 2867

2867 = 47 x 61

Step 2: Find the prime factorization of 2872

2872 = 2 x 2 x 2 x 359

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

LCM = 8234024 = 2 x 2 x 2 x 47 x 61 x 359

Step 4: Therefore, the least common multiple of 2867 and 2872 is 8234024.