Least Common Multiple of 6896 and 6900

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 6900 the smallest integer that is 11895600 that is divisible by both numbers.

Least Common Multiple (LCM) of 6896 and 6900 is 11895600.

LCM(6896,6900) = 11895600

LCM of 6896 and 6900

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

LCM of:
and

Least Common Multiple of 6896 and 6900

LCM of 6896 and 6900 is 11895600

Least common multiple can be found by multiplying the highest exponent prime factors of 6896 and 6900. First we will calculate the prime factors of 6896 and 6900.

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 6900


2 6900
2 3450
3 1725
5 575
5 115
23 23
1

Prime factors of 6900 are 2, 3, 5,23. Prime factorization of 6900 in exponential form is:

6900 = 22×31×52×231

Now multiplying the highest exponent prime factors to calculate the LCM of 6896 and 6900.

LCM(6896,6900) = 24×31×52×231×4311
LCM(6896,6900) = 11895600

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 6900

List of positive integer factors of 6900 that divides 6900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450, 6900

Least Common Multiple of 6896 and 6900 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 6900, than apply into the LCM equation.

GCF(6896,6900) = 4
LCM(6896,6900) = ( 6896 × 6900) / 4
LCM(6896,6900) = 47582400 / 4
LCM(6896,6900) = 11895600

Properties of LCM 6896 and 6900

(i) The LCM of 6900 and 6896 is associative

LCM of 6896 and 6900 = LCM of 6900 and 6896

Related Least Common Multiples of 6896

Related Least Common Multiples of 6900

Frequently Asked Questions on LCM of 6896 and 6900

1. What is the LCM of 6896 and 6900?

Answer: LCM of 6896 and 6900 is 11895600.

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 6900?

Answer: Factors of 6900 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450, 6900. There are 36 integers that are factors of 6900. The greatest factor of 6900 is 6900.

4. How to Find the LCM of 6896 and 6900?

Answer:

Least Common Multiple of 6896 and 6900 = 11895600

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 6900

6900 = 2 x 2 x 3 x 5 x 5 x 23

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

LCM = 11895600 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 23 x 431

Step 4: Therefore, the least common multiple of 6896 and 6900 is 11895600.