Least Common Multiple of 6867 and 6874

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 6874 the smallest integer that is 6743394 that is divisible by both numbers.

Least Common Multiple (LCM) of 6867 and 6874 is 6743394.

LCM(6867,6874) = 6743394

LCM of 6867 and 6874

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

LCM of:
and

Least Common Multiple of 6867 and 6874

LCM of 6867 and 6874 is 6743394

Least common multiple can be found by multiplying the highest exponent prime factors of 6867 and 6874. First we will calculate the prime factors of 6867 and 6874.

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 6874


2 6874
7 3437
491 491
1

Prime factors of 6874 are 2, 7,491. Prime factorization of 6874 in exponential form is:

6874 = 21×71×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 6867 and 6874.

LCM(6867,6874) = 21×32×71×1091×4911
LCM(6867,6874) = 6743394

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 6874

List of positive integer factors of 6874 that divides 6874 without a remainder.

1, 2, 7, 14, 491, 982, 3437, 6874

Least Common Multiple of 6867 and 6874 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 6874, than apply into the LCM equation.

GCF(6867,6874) = 7
LCM(6867,6874) = ( 6867 × 6874) / 7
LCM(6867,6874) = 47203758 / 7
LCM(6867,6874) = 6743394

Properties of LCM 6867 and 6874

(i) The LCM of 6874 and 6867 is associative

LCM of 6867 and 6874 = LCM of 6874 and 6867

Related Least Common Multiples of 6867

Related Least Common Multiples of 6874

Frequently Asked Questions on LCM of 6867 and 6874

1. What is the LCM of 6867 and 6874?

Answer: LCM of 6867 and 6874 is 6743394.

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 6874?

Answer: Factors of 6874 are 1, 2, 7, 14, 491, 982, 3437, 6874. There are 8 integers that are factors of 6874. The greatest factor of 6874 is 6874.

4. How to Find the LCM of 6867 and 6874?

Answer:

Least Common Multiple of 6867 and 6874 = 6743394

Step 1: Find the prime factorization of 6867

6867 = 3 x 3 x 7 x 109

Step 2: Find the prime factorization of 6874

6874 = 2 x 7 x 491

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

LCM = 6743394 = 2 x 3 x 3 x 7 x 109 x 491

Step 4: Therefore, the least common multiple of 6867 and 6874 is 6743394.