Least Common Multiple of 6532 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 6532 and 6540 the smallest integer that is 10679820 that is divisible by both numbers.

Least Common Multiple (LCM) of 6532 and 6540 is 10679820.

LCM(6532,6540) = 10679820

LCM of 6532 and 6540

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

LCM of:
and

Least Common Multiple of 6532 and 6540

LCM of 6532 and 6540 is 10679820

Least common multiple can be found by multiplying the highest exponent prime factors of 6532 and 6540. First we will calculate the prime factors of 6532 and 6540.

Prime Factorization of 6532


2 6532
2 3266
23 1633
71 71
1

Prime factors of 6532 are 2, 23,71. Prime factorization of 6532 in exponential form is:

6532 = 22×231×711

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 6532 and 6540.

LCM(6532,6540) = 22×31×51×231×711×1091
LCM(6532,6540) = 10679820

Factors of 6532

List of positive integer factors of 6532 that divides 6532 without a remainder.

1, 2, 4, 23, 46, 71, 92, 142, 284, 1633, 3266, 6532

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 6532 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 6532 and 6540, than apply into the LCM equation.

GCF(6532,6540) = 4
LCM(6532,6540) = ( 6532 × 6540) / 4
LCM(6532,6540) = 42719280 / 4
LCM(6532,6540) = 10679820

Properties of LCM 6532 and 6540

(i) The LCM of 6540 and 6532 is associative

LCM of 6532 and 6540 = LCM of 6540 and 6532

Related Least Common Multiples of 6532

Related Least Common Multiples of 6540

Frequently Asked Questions on LCM of 6532 and 6540

1. What is the LCM of 6532 and 6540?

Answer: LCM of 6532 and 6540 is 10679820.

2. What are the Factors of 6532?

Answer: Factors of 6532 are 1, 2, 4, 23, 46, 71, 92, 142, 284, 1633, 3266, 6532. There are 12 integers that are factors of 6532. The greatest factor of 6532 is 6532.

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 6532 and 6540?

Answer:

Least Common Multiple of 6532 and 6540 = 10679820

Step 1: Find the prime factorization of 6532

6532 = 2 x 2 x 23 x 71

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 = 10679820 = 2 x 2 x 3 x 5 x 23 x 71 x 109

Step 4: Therefore, the least common multiple of 6532 and 6540 is 10679820.