Least Common Multiple of 6896 and 6903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6896 and 6903 the smallest integer that is 47603088 that is divisible by both numbers.

Least Common Multiple (LCM) of 6896 and 6903 is 47603088.

LCM(6896,6903) = 47603088

LCM of 6896 and 6903

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

LCM of:
and

Least Common Multiple of 6896 and 6903

LCM of 6896 and 6903 is 47603088

Least common multiple can be found by multiplying the highest exponent prime factors of 6896 and 6903. First we will calculate the prime factors of 6896 and 6903.

Prime Factorization of 6896


2 6896
2 3448
2 1724
2 862
431 431
1

Prime factors of 6896 are 2,431. Prime factorization of 6896 in exponential form is:

6896 = 24×4311

Prime Factorization of 6903


3 6903
3 2301
13 767
59 59
1

Prime factors of 6903 are 3, 13,59. Prime factorization of 6903 in exponential form is:

6903 = 32×131×591

Now multiplying the highest exponent prime factors to calculate the LCM of 6896 and 6903.

LCM(6896,6903) = 24×32×131×591×4311
LCM(6896,6903) = 47603088

Factors of 6896

List of positive integer factors of 6896 that divides 6896 without a remainder.

1, 2, 4, 8, 16, 431, 862, 1724, 3448, 6896

Factors of 6903

List of positive integer factors of 6903 that divides 6903 without a remainder.

1, 3, 9, 13, 39, 59, 117, 177, 531, 767, 2301, 6903

Least Common Multiple of 6896 and 6903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6896 and 6903, than apply into the LCM equation.

GCF(6896,6903) = 1
LCM(6896,6903) = ( 6896 × 6903) / 1
LCM(6896,6903) = 47603088 / 1
LCM(6896,6903) = 47603088

Properties of LCM 6896 and 6903

(i) The LCM of 6903 and 6896 is associative

LCM of 6896 and 6903 = LCM of 6903 and 6896

Related Least Common Multiples of 6896

Related Least Common Multiples of 6903

Frequently Asked Questions on LCM of 6896 and 6903

1. What is the LCM of 6896 and 6903?

Answer: LCM of 6896 and 6903 is 47603088.

2. What are the Factors of 6896?

Answer: Factors of 6896 are 1, 2, 4, 8, 16, 431, 862, 1724, 3448, 6896. There are 10 integers that are factors of 6896. The greatest factor of 6896 is 6896.

3. What are the Factors of 6903?

Answer: Factors of 6903 are 1, 3, 9, 13, 39, 59, 117, 177, 531, 767, 2301, 6903. There are 12 integers that are factors of 6903. The greatest factor of 6903 is 6903.

4. How to Find the LCM of 6896 and 6903?

Answer:

Least Common Multiple of 6896 and 6903 = 47603088

Step 1: Find the prime factorization of 6896

6896 = 2 x 2 x 2 x 2 x 431

Step 2: Find the prime factorization of 6903

6903 = 3 x 3 x 13 x 59

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

LCM = 47603088 = 2 x 2 x 2 x 2 x 3 x 3 x 13 x 59 x 431

Step 4: Therefore, the least common multiple of 6896 and 6903 is 47603088.