Least Common Multiple of 6896 and 6904

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 6904 the smallest integer that is 5951248 that is divisible by both numbers.

Least Common Multiple (LCM) of 6896 and 6904 is 5951248.

LCM(6896,6904) = 5951248

LCM of 6896 and 6904

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

LCM of:
and

Least Common Multiple of 6896 and 6904

LCM of 6896 and 6904 is 5951248

Least common multiple can be found by multiplying the highest exponent prime factors of 6896 and 6904. First we will calculate the prime factors of 6896 and 6904.

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 6904


2 6904
2 3452
2 1726
863 863
1

Prime factors of 6904 are 2,863. Prime factorization of 6904 in exponential form is:

6904 = 23×8631

Now multiplying the highest exponent prime factors to calculate the LCM of 6896 and 6904.

LCM(6896,6904) = 24×4311×8631
LCM(6896,6904) = 5951248

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 6904

List of positive integer factors of 6904 that divides 6904 without a remainder.

1, 2, 4, 8, 863, 1726, 3452, 6904

Least Common Multiple of 6896 and 6904 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 6904, than apply into the LCM equation.

GCF(6896,6904) = 8
LCM(6896,6904) = ( 6896 × 6904) / 8
LCM(6896,6904) = 47609984 / 8
LCM(6896,6904) = 5951248

Properties of LCM 6896 and 6904

(i) The LCM of 6904 and 6896 is associative

LCM of 6896 and 6904 = LCM of 6904 and 6896

Related Least Common Multiples of 6896

Related Least Common Multiples of 6904

Frequently Asked Questions on LCM of 6896 and 6904

1. What is the LCM of 6896 and 6904?

Answer: LCM of 6896 and 6904 is 5951248.

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 6904?

Answer: Factors of 6904 are 1, 2, 4, 8, 863, 1726, 3452, 6904. There are 8 integers that are factors of 6904. The greatest factor of 6904 is 6904.

4. How to Find the LCM of 6896 and 6904?

Answer:

Least Common Multiple of 6896 and 6904 = 5951248

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 6904

6904 = 2 x 2 x 2 x 863

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

LCM = 5951248 = 2 x 2 x 2 x 2 x 431 x 863

Step 4: Therefore, the least common multiple of 6896 and 6904 is 5951248.