Least Common Multiple of 6725 and 6729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6725 and 6729 the smallest integer that is 45252525 that is divisible by both numbers.

Least Common Multiple (LCM) of 6725 and 6729 is 45252525.

LCM(6725,6729) = 45252525

LCM of 6725 and 6729

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

LCM of:
and

Least Common Multiple of 6725 and 6729

LCM of 6725 and 6729 is 45252525

Least common multiple can be found by multiplying the highest exponent prime factors of 6725 and 6729. First we will calculate the prime factors of 6725 and 6729.

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

Prime Factorization of 6729


3 6729
2243 2243
1

Prime factors of 6729 are 3,2243. Prime factorization of 6729 in exponential form is:

6729 = 31×22431

Now multiplying the highest exponent prime factors to calculate the LCM of 6725 and 6729.

LCM(6725,6729) = 31×52×2691×22431
LCM(6725,6729) = 45252525

Factors of 6725

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

1, 5, 25, 269, 1345, 6725

Factors of 6729

List of positive integer factors of 6729 that divides 6729 without a remainder.

1, 3, 2243, 6729

Least Common Multiple of 6725 and 6729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6725 and 6729, than apply into the LCM equation.

GCF(6725,6729) = 1
LCM(6725,6729) = ( 6725 × 6729) / 1
LCM(6725,6729) = 45252525 / 1
LCM(6725,6729) = 45252525

Properties of LCM 6725 and 6729

(i) The LCM of 6729 and 6725 is associative

LCM of 6725 and 6729 = LCM of 6729 and 6725

Related Least Common Multiples of 6725

Related Least Common Multiples of 6729

Frequently Asked Questions on LCM of 6725 and 6729

1. What is the LCM of 6725 and 6729?

Answer: LCM of 6725 and 6729 is 45252525.

2. 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.

3. What are the Factors of 6729?

Answer: Factors of 6729 are 1, 3, 2243, 6729. There are 4 integers that are factors of 6729. The greatest factor of 6729 is 6729.

4. How to Find the LCM of 6725 and 6729?

Answer:

Least Common Multiple of 6725 and 6729 = 45252525

Step 1: Find the prime factorization of 6725

6725 = 5 x 5 x 269

Step 2: Find the prime factorization of 6729

6729 = 3 x 2243

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

LCM = 45252525 = 3 x 5 x 5 x 269 x 2243

Step 4: Therefore, the least common multiple of 6725 and 6729 is 45252525.