Least Common Multiple of 6883 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 6883 and 6890 the smallest integer that is 47423870 that is divisible by both numbers.

Least Common Multiple (LCM) of 6883 and 6890 is 47423870.

LCM(6883,6890) = 47423870

LCM of 6883 and 6890

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

LCM of:
and

Least Common Multiple of 6883 and 6890

LCM of 6883 and 6890 is 47423870

Least common multiple can be found by multiplying the highest exponent prime factors of 6883 and 6890. First we will calculate the prime factors of 6883 and 6890.

Prime Factorization of 6883


6883 6883
1

Prime factors of 6883 are 6883. Prime factorization of 6883 in exponential form is:

6883 = 68831

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 6883 and 6890.

LCM(6883,6890) = 21×51×131×531×68831
LCM(6883,6890) = 47423870

Factors of 6883

List of positive integer factors of 6883 that divides 6883 without a remainder.

1, 6883

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 6883 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 6883 and 6890, than apply into the LCM equation.

GCF(6883,6890) = 1
LCM(6883,6890) = ( 6883 × 6890) / 1
LCM(6883,6890) = 47423870 / 1
LCM(6883,6890) = 47423870

Properties of LCM 6883 and 6890

(i) The LCM of 6890 and 6883 is associative

LCM of 6883 and 6890 = LCM of 6890 and 6883

Related Least Common Multiples of 6883

Related Least Common Multiples of 6890

Frequently Asked Questions on LCM of 6883 and 6890

1. What is the LCM of 6883 and 6890?

Answer: LCM of 6883 and 6890 is 47423870.

2. What are the Factors of 6883?

Answer: Factors of 6883 are 1, 6883. There are 2 integers that are factors of 6883. The greatest factor of 6883 is 6883.

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 6883 and 6890?

Answer:

Least Common Multiple of 6883 and 6890 = 47423870

Step 1: Find the prime factorization of 6883

6883 = 6883

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 = 47423870 = 2 x 5 x 13 x 53 x 6883

Step 4: Therefore, the least common multiple of 6883 and 6890 is 47423870.