Least Common Multiple of 6896 and 6899

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 6899 the smallest integer that is 47575504 that is divisible by both numbers.

Least Common Multiple (LCM) of 6896 and 6899 is 47575504.

LCM(6896,6899) = 47575504

LCM of 6896 and 6899

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

LCM of:
and

Least Common Multiple of 6896 and 6899

LCM of 6896 and 6899 is 47575504

Least common multiple can be found by multiplying the highest exponent prime factors of 6896 and 6899. First we will calculate the prime factors of 6896 and 6899.

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 6899


6899 6899
1

Prime factors of 6899 are 6899. Prime factorization of 6899 in exponential form is:

6899 = 68991

Now multiplying the highest exponent prime factors to calculate the LCM of 6896 and 6899.

LCM(6896,6899) = 24×4311×68991
LCM(6896,6899) = 47575504

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 6899

List of positive integer factors of 6899 that divides 6899 without a remainder.

1, 6899

Least Common Multiple of 6896 and 6899 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 6899, than apply into the LCM equation.

GCF(6896,6899) = 1
LCM(6896,6899) = ( 6896 × 6899) / 1
LCM(6896,6899) = 47575504 / 1
LCM(6896,6899) = 47575504

Properties of LCM 6896 and 6899

(i) The LCM of 6899 and 6896 is associative

LCM of 6896 and 6899 = LCM of 6899 and 6896

Related Least Common Multiples of 6896

Related Least Common Multiples of 6899

Frequently Asked Questions on LCM of 6896 and 6899

1. What is the LCM of 6896 and 6899?

Answer: LCM of 6896 and 6899 is 47575504.

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 6899?

Answer: Factors of 6899 are 1, 6899. There are 2 integers that are factors of 6899. The greatest factor of 6899 is 6899.

4. How to Find the LCM of 6896 and 6899?

Answer:

Least Common Multiple of 6896 and 6899 = 47575504

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 6899

6899 = 6899

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

LCM = 47575504 = 2 x 2 x 2 x 2 x 431 x 6899

Step 4: Therefore, the least common multiple of 6896 and 6899 is 47575504.