Least Common Multiple of 6875 and 6883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6875 and 6883 the smallest integer that is 47320625 that is divisible by both numbers.

Least Common Multiple (LCM) of 6875 and 6883 is 47320625.

LCM(6875,6883) = 47320625

LCM of 6875 and 6883

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

LCM of:
and

Least Common Multiple of 6875 and 6883

LCM of 6875 and 6883 is 47320625

Least common multiple can be found by multiplying the highest exponent prime factors of 6875 and 6883. First we will calculate the prime factors of 6875 and 6883.

Prime Factorization of 6875


5 6875
5 1375
5 275
5 55
11 11
1

Prime factors of 6875 are 5,11. Prime factorization of 6875 in exponential form is:

6875 = 54×111

Prime Factorization of 6883


6883 6883
1

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

6883 = 68831

Now multiplying the highest exponent prime factors to calculate the LCM of 6875 and 6883.

LCM(6875,6883) = 54×111×68831
LCM(6875,6883) = 47320625

Factors of 6875

List of positive integer factors of 6875 that divides 6875 without a remainder.

1, 5, 11, 25, 55, 125, 275, 625, 1375, 6875

Factors of 6883

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

1, 6883

Least Common Multiple of 6875 and 6883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6875 and 6883, than apply into the LCM equation.

GCF(6875,6883) = 1
LCM(6875,6883) = ( 6875 × 6883) / 1
LCM(6875,6883) = 47320625 / 1
LCM(6875,6883) = 47320625

Properties of LCM 6875 and 6883

(i) The LCM of 6883 and 6875 is associative

LCM of 6875 and 6883 = LCM of 6883 and 6875

Related Least Common Multiples of 6875

Related Least Common Multiples of 6883

Frequently Asked Questions on LCM of 6875 and 6883

1. What is the LCM of 6875 and 6883?

Answer: LCM of 6875 and 6883 is 47320625.

2. What are the Factors of 6875?

Answer: Factors of 6875 are 1, 5, 11, 25, 55, 125, 275, 625, 1375, 6875. There are 10 integers that are factors of 6875. The greatest factor of 6875 is 6875.

3. 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.

4. How to Find the LCM of 6875 and 6883?

Answer:

Least Common Multiple of 6875 and 6883 = 47320625

Step 1: Find the prime factorization of 6875

6875 = 5 x 5 x 5 x 5 x 11

Step 2: Find the prime factorization of 6883

6883 = 6883

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

LCM = 47320625 = 5 x 5 x 5 x 5 x 11 x 6883

Step 4: Therefore, the least common multiple of 6875 and 6883 is 47320625.