Least Common Multiple of 6884 and 6890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6884 and 6890 the smallest integer that is 23715380 that is divisible by both numbers.

Least Common Multiple (LCM) of 6884 and 6890 is 23715380.

LCM(6884,6890) = 23715380

LCM of 6884 and 6890

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

LCM of:
and

Least Common Multiple of 6884 and 6890

LCM of 6884 and 6890 is 23715380

Least common multiple can be found by multiplying the highest exponent prime factors of 6884 and 6890. First we will calculate the prime factors of 6884 and 6890.

Prime Factorization of 6884


2 6884
2 3442
1721 1721
1

Prime factors of 6884 are 2,1721. Prime factorization of 6884 in exponential form is:

6884 = 22×17211

Prime Factorization of 6890


2 6890
5 3445
13 689
53 53
1

Prime factors of 6890 are 2, 5, 13,53. Prime factorization of 6890 in exponential form is:

6890 = 21×51×131×531

Now multiplying the highest exponent prime factors to calculate the LCM of 6884 and 6890.

LCM(6884,6890) = 22×51×131×531×17211
LCM(6884,6890) = 23715380

Factors of 6884

List of positive integer factors of 6884 that divides 6884 without a remainder.

1, 2, 4, 1721, 3442, 6884

Factors of 6890

List of positive integer factors of 6890 that divides 6890 without a remainder.

1, 2, 5, 10, 13, 26, 53, 65, 106, 130, 265, 530, 689, 1378, 3445, 6890

Least Common Multiple of 6884 and 6890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6884 and 6890, than apply into the LCM equation.

GCF(6884,6890) = 2
LCM(6884,6890) = ( 6884 × 6890) / 2
LCM(6884,6890) = 47430760 / 2
LCM(6884,6890) = 23715380

Properties of LCM 6884 and 6890

(i) The LCM of 6890 and 6884 is associative

LCM of 6884 and 6890 = LCM of 6890 and 6884

Related Least Common Multiples of 6884

Related Least Common Multiples of 6890

Frequently Asked Questions on LCM of 6884 and 6890

1. What is the LCM of 6884 and 6890?

Answer: LCM of 6884 and 6890 is 23715380.

2. What are the Factors of 6884?

Answer: Factors of 6884 are 1, 2, 4, 1721, 3442, 6884. There are 6 integers that are factors of 6884. The greatest factor of 6884 is 6884.

3. What are the Factors of 6890?

Answer: Factors of 6890 are 1, 2, 5, 10, 13, 26, 53, 65, 106, 130, 265, 530, 689, 1378, 3445, 6890. There are 16 integers that are factors of 6890. The greatest factor of 6890 is 6890.

4. How to Find the LCM of 6884 and 6890?

Answer:

Least Common Multiple of 6884 and 6890 = 23715380

Step 1: Find the prime factorization of 6884

6884 = 2 x 2 x 1721

Step 2: Find the prime factorization of 6890

6890 = 2 x 5 x 13 x 53

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

LCM = 23715380 = 2 x 2 x 5 x 13 x 53 x 1721

Step 4: Therefore, the least common multiple of 6884 and 6890 is 23715380.