Least Common Multiple of 6725 and 6731

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 6731 the smallest integer that is 45265975 that is divisible by both numbers.

Least Common Multiple (LCM) of 6725 and 6731 is 45265975.

LCM(6725,6731) = 45265975

LCM of 6725 and 6731

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

LCM of:
and

Least Common Multiple of 6725 and 6731

LCM of 6725 and 6731 is 45265975

Least common multiple can be found by multiplying the highest exponent prime factors of 6725 and 6731. First we will calculate the prime factors of 6725 and 6731.

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 6731


53 6731
127 127
1

Prime factors of 6731 are 53,127. Prime factorization of 6731 in exponential form is:

6731 = 531×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 6725 and 6731.

LCM(6725,6731) = 52×531×1271×2691
LCM(6725,6731) = 45265975

Factors of 6725

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

1, 5, 25, 269, 1345, 6725

Factors of 6731

List of positive integer factors of 6731 that divides 6731 without a remainder.

1, 53, 127, 6731

Least Common Multiple of 6725 and 6731 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 6731, than apply into the LCM equation.

GCF(6725,6731) = 1
LCM(6725,6731) = ( 6725 × 6731) / 1
LCM(6725,6731) = 45265975 / 1
LCM(6725,6731) = 45265975

Properties of LCM 6725 and 6731

(i) The LCM of 6731 and 6725 is associative

LCM of 6725 and 6731 = LCM of 6731 and 6725

Related Least Common Multiples of 6725

Related Least Common Multiples of 6731

Frequently Asked Questions on LCM of 6725 and 6731

1. What is the LCM of 6725 and 6731?

Answer: LCM of 6725 and 6731 is 45265975.

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 6731?

Answer: Factors of 6731 are 1, 53, 127, 6731. There are 4 integers that are factors of 6731. The greatest factor of 6731 is 6731.

4. How to Find the LCM of 6725 and 6731?

Answer:

Least Common Multiple of 6725 and 6731 = 45265975

Step 1: Find the prime factorization of 6725

6725 = 5 x 5 x 269

Step 2: Find the prime factorization of 6731

6731 = 53 x 127

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

LCM = 45265975 = 5 x 5 x 53 x 127 x 269

Step 4: Therefore, the least common multiple of 6725 and 6731 is 45265975.