Least Common Multiple of 6535 and 6540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6535 and 6540 the smallest integer that is 8547780 that is divisible by both numbers.

Least Common Multiple (LCM) of 6535 and 6540 is 8547780.

LCM(6535,6540) = 8547780

LCM of 6535 and 6540

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

LCM of:
and

Least Common Multiple of 6535 and 6540

LCM of 6535 and 6540 is 8547780

Least common multiple can be found by multiplying the highest exponent prime factors of 6535 and 6540. First we will calculate the prime factors of 6535 and 6540.

Prime Factorization of 6535


5 6535
1307 1307
1

Prime factors of 6535 are 5,1307. Prime factorization of 6535 in exponential form is:

6535 = 51×13071

Prime Factorization of 6540


2 6540
2 3270
3 1635
5 545
109 109
1

Prime factors of 6540 are 2, 3, 5,109. Prime factorization of 6540 in exponential form is:

6540 = 22×31×51×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 6535 and 6540.

LCM(6535,6540) = 22×31×51×1091×13071
LCM(6535,6540) = 8547780

Factors of 6535

List of positive integer factors of 6535 that divides 6535 without a remainder.

1, 5, 1307, 6535

Factors of 6540

List of positive integer factors of 6540 that divides 6540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 109, 218, 327, 436, 545, 654, 1090, 1308, 1635, 2180, 3270, 6540

Least Common Multiple of 6535 and 6540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6535 and 6540, than apply into the LCM equation.

GCF(6535,6540) = 5
LCM(6535,6540) = ( 6535 × 6540) / 5
LCM(6535,6540) = 42738900 / 5
LCM(6535,6540) = 8547780

Properties of LCM 6535 and 6540

(i) The LCM of 6540 and 6535 is associative

LCM of 6535 and 6540 = LCM of 6540 and 6535

Related Least Common Multiples of 6535

Related Least Common Multiples of 6540

Frequently Asked Questions on LCM of 6535 and 6540

1. What is the LCM of 6535 and 6540?

Answer: LCM of 6535 and 6540 is 8547780.

2. What are the Factors of 6535?

Answer: Factors of 6535 are 1, 5, 1307, 6535. There are 4 integers that are factors of 6535. The greatest factor of 6535 is 6535.

3. What are the Factors of 6540?

Answer: Factors of 6540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 109, 218, 327, 436, 545, 654, 1090, 1308, 1635, 2180, 3270, 6540. There are 24 integers that are factors of 6540. The greatest factor of 6540 is 6540.

4. How to Find the LCM of 6535 and 6540?

Answer:

Least Common Multiple of 6535 and 6540 = 8547780

Step 1: Find the prime factorization of 6535

6535 = 5 x 1307

Step 2: Find the prime factorization of 6540

6540 = 2 x 2 x 3 x 5 x 109

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

LCM = 8547780 = 2 x 2 x 3 x 5 x 109 x 1307

Step 4: Therefore, the least common multiple of 6535 and 6540 is 8547780.