Least Common Multiple of 6539 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 6539 and 6540 the smallest integer that is 42765060 that is divisible by both numbers.

Least Common Multiple (LCM) of 6539 and 6540 is 42765060.

LCM(6539,6540) = 42765060

LCM of 6539 and 6540

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

LCM of:
and

Least Common Multiple of 6539 and 6540

LCM of 6539 and 6540 is 42765060

Least common multiple can be found by multiplying the highest exponent prime factors of 6539 and 6540. First we will calculate the prime factors of 6539 and 6540.

Prime Factorization of 6539


13 6539
503 503
1

Prime factors of 6539 are 13,503. Prime factorization of 6539 in exponential form is:

6539 = 131×5031

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 6539 and 6540.

LCM(6539,6540) = 22×31×51×131×1091×5031
LCM(6539,6540) = 42765060

Factors of 6539

List of positive integer factors of 6539 that divides 6539 without a remainder.

1, 13, 503, 6539

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 6539 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 6539 and 6540, than apply into the LCM equation.

GCF(6539,6540) = 1
LCM(6539,6540) = ( 6539 × 6540) / 1
LCM(6539,6540) = 42765060 / 1
LCM(6539,6540) = 42765060

Properties of LCM 6539 and 6540

(i) The LCM of 6540 and 6539 is associative

LCM of 6539 and 6540 = LCM of 6540 and 6539

Related Least Common Multiples of 6539

Related Least Common Multiples of 6540

Frequently Asked Questions on LCM of 6539 and 6540

1. What is the LCM of 6539 and 6540?

Answer: LCM of 6539 and 6540 is 42765060.

2. What are the Factors of 6539?

Answer: Factors of 6539 are 1, 13, 503, 6539. There are 4 integers that are factors of 6539. The greatest factor of 6539 is 6539.

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 6539 and 6540?

Answer:

Least Common Multiple of 6539 and 6540 = 42765060

Step 1: Find the prime factorization of 6539

6539 = 13 x 503

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 = 42765060 = 2 x 2 x 3 x 5 x 13 x 109 x 503

Step 4: Therefore, the least common multiple of 6539 and 6540 is 42765060.