Least Common Multiple of 6867 and 6872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6867 and 6872 the smallest integer that is 47190024 that is divisible by both numbers.

Least Common Multiple (LCM) of 6867 and 6872 is 47190024.

LCM(6867,6872) = 47190024

LCM of 6867 and 6872

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

LCM of:
and

Least Common Multiple of 6867 and 6872

LCM of 6867 and 6872 is 47190024

Least common multiple can be found by multiplying the highest exponent prime factors of 6867 and 6872. First we will calculate the prime factors of 6867 and 6872.

Prime Factorization of 6867


3 6867
3 2289
7 763
109 109
1

Prime factors of 6867 are 3, 7,109. Prime factorization of 6867 in exponential form is:

6867 = 32×71×1091

Prime Factorization of 6872


2 6872
2 3436
2 1718
859 859
1

Prime factors of 6872 are 2,859. Prime factorization of 6872 in exponential form is:

6872 = 23×8591

Now multiplying the highest exponent prime factors to calculate the LCM of 6867 and 6872.

LCM(6867,6872) = 23×32×71×1091×8591
LCM(6867,6872) = 47190024

Factors of 6867

List of positive integer factors of 6867 that divides 6867 without a remainder.

1, 3, 7, 9, 21, 63, 109, 327, 763, 981, 2289, 6867

Factors of 6872

List of positive integer factors of 6872 that divides 6872 without a remainder.

1, 2, 4, 8, 859, 1718, 3436, 6872

Least Common Multiple of 6867 and 6872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6867 and 6872, than apply into the LCM equation.

GCF(6867,6872) = 1
LCM(6867,6872) = ( 6867 × 6872) / 1
LCM(6867,6872) = 47190024 / 1
LCM(6867,6872) = 47190024

Properties of LCM 6867 and 6872

(i) The LCM of 6872 and 6867 is associative

LCM of 6867 and 6872 = LCM of 6872 and 6867

Related Least Common Multiples of 6867

Related Least Common Multiples of 6872

Frequently Asked Questions on LCM of 6867 and 6872

1. What is the LCM of 6867 and 6872?

Answer: LCM of 6867 and 6872 is 47190024.

2. What are the Factors of 6867?

Answer: Factors of 6867 are 1, 3, 7, 9, 21, 63, 109, 327, 763, 981, 2289, 6867. There are 12 integers that are factors of 6867. The greatest factor of 6867 is 6867.

3. What are the Factors of 6872?

Answer: Factors of 6872 are 1, 2, 4, 8, 859, 1718, 3436, 6872. There are 8 integers that are factors of 6872. The greatest factor of 6872 is 6872.

4. How to Find the LCM of 6867 and 6872?

Answer:

Least Common Multiple of 6867 and 6872 = 47190024

Step 1: Find the prime factorization of 6867

6867 = 3 x 3 x 7 x 109

Step 2: Find the prime factorization of 6872

6872 = 2 x 2 x 2 x 859

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

LCM = 47190024 = 2 x 2 x 2 x 3 x 3 x 7 x 109 x 859

Step 4: Therefore, the least common multiple of 6867 and 6872 is 47190024.