Least Common Multiple of 6721 and 6725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6721 and 6725 the smallest integer that is 45198725 that is divisible by both numbers.

Least Common Multiple (LCM) of 6721 and 6725 is 45198725.

LCM(6721,6725) = 45198725

LCM of 6721 and 6725

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

LCM of:
and

Least Common Multiple of 6721 and 6725

LCM of 6721 and 6725 is 45198725

Least common multiple can be found by multiplying the highest exponent prime factors of 6721 and 6725. First we will calculate the prime factors of 6721 and 6725.

Prime Factorization of 6721


11 6721
13 611
47 47
1

Prime factors of 6721 are 11, 13,47. Prime factorization of 6721 in exponential form is:

6721 = 111×131×471

Prime Factorization of 6725


5 6725
5 1345
269 269
1

Prime factors of 6725 are 5,269. Prime factorization of 6725 in exponential form is:

6725 = 52×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 6721 and 6725.

LCM(6721,6725) = 52×111×131×471×2691
LCM(6721,6725) = 45198725

Factors of 6721

List of positive integer factors of 6721 that divides 6721 without a remainder.

1, 11, 13, 47, 143, 517, 611, 6721

Factors of 6725

List of positive integer factors of 6725 that divides 6725 without a remainder.

1, 5, 25, 269, 1345, 6725

Least Common Multiple of 6721 and 6725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6721 and 6725, than apply into the LCM equation.

GCF(6721,6725) = 1
LCM(6721,6725) = ( 6721 × 6725) / 1
LCM(6721,6725) = 45198725 / 1
LCM(6721,6725) = 45198725

Properties of LCM 6721 and 6725

(i) The LCM of 6725 and 6721 is associative

LCM of 6721 and 6725 = LCM of 6725 and 6721

Related Least Common Multiples of 6721

Related Least Common Multiples of 6725

Frequently Asked Questions on LCM of 6721 and 6725

1. What is the LCM of 6721 and 6725?

Answer: LCM of 6721 and 6725 is 45198725.

2. What are the Factors of 6721?

Answer: Factors of 6721 are 1, 11, 13, 47, 143, 517, 611, 6721. There are 8 integers that are factors of 6721. The greatest factor of 6721 is 6721.

3. What are the Factors of 6725?

Answer: Factors of 6725 are 1, 5, 25, 269, 1345, 6725. There are 6 integers that are factors of 6725. The greatest factor of 6725 is 6725.

4. How to Find the LCM of 6721 and 6725?

Answer:

Least Common Multiple of 6721 and 6725 = 45198725

Step 1: Find the prime factorization of 6721

6721 = 11 x 13 x 47

Step 2: Find the prime factorization of 6725

6725 = 5 x 5 x 269

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

LCM = 45198725 = 5 x 5 x 11 x 13 x 47 x 269

Step 4: Therefore, the least common multiple of 6721 and 6725 is 45198725.