Least Common Multiple of 6540 and 6545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6540 and 6545 the smallest integer that is 8560860 that is divisible by both numbers.

Least Common Multiple (LCM) of 6540 and 6545 is 8560860.

LCM(6540,6545) = 8560860

LCM of 6540 and 6545

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

LCM of:
and

Least Common Multiple of 6540 and 6545

LCM of 6540 and 6545 is 8560860

Least common multiple can be found by multiplying the highest exponent prime factors of 6540 and 6545. First we will calculate the prime factors of 6540 and 6545.

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

Prime Factorization of 6545


5 6545
7 1309
11 187
17 17
1

Prime factors of 6545 are 5, 7, 11,17. Prime factorization of 6545 in exponential form is:

6545 = 51×71×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 6540 and 6545.

LCM(6540,6545) = 22×31×51×71×111×171×1091
LCM(6540,6545) = 8560860

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

Factors of 6545

List of positive integer factors of 6545 that divides 6545 without a remainder.

1, 5, 7, 11, 17, 35, 55, 77, 85, 119, 187, 385, 595, 935, 1309, 6545

Least Common Multiple of 6540 and 6545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6540 and 6545, than apply into the LCM equation.

GCF(6540,6545) = 5
LCM(6540,6545) = ( 6540 × 6545) / 5
LCM(6540,6545) = 42804300 / 5
LCM(6540,6545) = 8560860

Properties of LCM 6540 and 6545

(i) The LCM of 6545 and 6540 is associative

LCM of 6540 and 6545 = LCM of 6545 and 6540

Related Least Common Multiples of 6540

Related Least Common Multiples of 6545

Frequently Asked Questions on LCM of 6540 and 6545

1. What is the LCM of 6540 and 6545?

Answer: LCM of 6540 and 6545 is 8560860.

2. 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.

3. What are the Factors of 6545?

Answer: Factors of 6545 are 1, 5, 7, 11, 17, 35, 55, 77, 85, 119, 187, 385, 595, 935, 1309, 6545. There are 16 integers that are factors of 6545. The greatest factor of 6545 is 6545.

4. How to Find the LCM of 6540 and 6545?

Answer:

Least Common Multiple of 6540 and 6545 = 8560860

Step 1: Find the prime factorization of 6540

6540 = 2 x 2 x 3 x 5 x 109

Step 2: Find the prime factorization of 6545

6545 = 5 x 7 x 11 x 17

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

LCM = 8560860 = 2 x 2 x 3 x 5 x 7 x 11 x 17 x 109

Step 4: Therefore, the least common multiple of 6540 and 6545 is 8560860.