Least Common Multiple of 6910 and 6914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6910 and 6914 the smallest integer that is 23887870 that is divisible by both numbers.

Least Common Multiple (LCM) of 6910 and 6914 is 23887870.

LCM(6910,6914) = 23887870

LCM of 6910 and 6914

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

LCM of:
and

Least Common Multiple of 6910 and 6914

LCM of 6910 and 6914 is 23887870

Least common multiple can be found by multiplying the highest exponent prime factors of 6910 and 6914. First we will calculate the prime factors of 6910 and 6914.

Prime Factorization of 6910


2 6910
5 3455
691 691
1

Prime factors of 6910 are 2, 5,691. Prime factorization of 6910 in exponential form is:

6910 = 21×51×6911

Prime Factorization of 6914


2 6914
3457 3457
1

Prime factors of 6914 are 2,3457. Prime factorization of 6914 in exponential form is:

6914 = 21×34571

Now multiplying the highest exponent prime factors to calculate the LCM of 6910 and 6914.

LCM(6910,6914) = 21×51×6911×34571
LCM(6910,6914) = 23887870

Factors of 6910

List of positive integer factors of 6910 that divides 6910 without a remainder.

1, 2, 5, 10, 691, 1382, 3455, 6910

Factors of 6914

List of positive integer factors of 6914 that divides 6914 without a remainder.

1, 2, 3457, 6914

Least Common Multiple of 6910 and 6914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6910 and 6914, than apply into the LCM equation.

GCF(6910,6914) = 2
LCM(6910,6914) = ( 6910 × 6914) / 2
LCM(6910,6914) = 47775740 / 2
LCM(6910,6914) = 23887870

Properties of LCM 6910 and 6914

(i) The LCM of 6914 and 6910 is associative

LCM of 6910 and 6914 = LCM of 6914 and 6910

Related Least Common Multiples of 6910

Related Least Common Multiples of 6914

Frequently Asked Questions on LCM of 6910 and 6914

1. What is the LCM of 6910 and 6914?

Answer: LCM of 6910 and 6914 is 23887870.

2. What are the Factors of 6910?

Answer: Factors of 6910 are 1, 2, 5, 10, 691, 1382, 3455, 6910. There are 8 integers that are factors of 6910. The greatest factor of 6910 is 6910.

3. What are the Factors of 6914?

Answer: Factors of 6914 are 1, 2, 3457, 6914. There are 4 integers that are factors of 6914. The greatest factor of 6914 is 6914.

4. How to Find the LCM of 6910 and 6914?

Answer:

Least Common Multiple of 6910 and 6914 = 23887870

Step 1: Find the prime factorization of 6910

6910 = 2 x 5 x 691

Step 2: Find the prime factorization of 6914

6914 = 2 x 3457

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

LCM = 23887870 = 2 x 5 x 691 x 3457

Step 4: Therefore, the least common multiple of 6910 and 6914 is 23887870.