Least Common Multiple of 6534 and 6539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6534 and 6539 the smallest integer that is 42725826 that is divisible by both numbers.

Least Common Multiple (LCM) of 6534 and 6539 is 42725826.

LCM(6534,6539) = 42725826

LCM of 6534 and 6539

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

LCM of:
and

Least Common Multiple of 6534 and 6539

LCM of 6534 and 6539 is 42725826

Least common multiple can be found by multiplying the highest exponent prime factors of 6534 and 6539. First we will calculate the prime factors of 6534 and 6539.

Prime Factorization of 6534


2 6534
3 3267
3 1089
3 363
11 121
11 11
1

Prime factors of 6534 are 2, 3,11. Prime factorization of 6534 in exponential form is:

6534 = 21×33×112

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6534 and 6539.

LCM(6534,6539) = 21×33×112×131×5031
LCM(6534,6539) = 42725826

Factors of 6534

List of positive integer factors of 6534 that divides 6534 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 121, 198, 242, 297, 363, 594, 726, 1089, 2178, 3267, 6534

Factors of 6539

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

1, 13, 503, 6539

Least Common Multiple of 6534 and 6539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6534 and 6539, than apply into the LCM equation.

GCF(6534,6539) = 1
LCM(6534,6539) = ( 6534 × 6539) / 1
LCM(6534,6539) = 42725826 / 1
LCM(6534,6539) = 42725826

Properties of LCM 6534 and 6539

(i) The LCM of 6539 and 6534 is associative

LCM of 6534 and 6539 = LCM of 6539 and 6534

Related Least Common Multiples of 6534

Related Least Common Multiples of 6539

Frequently Asked Questions on LCM of 6534 and 6539

1. What is the LCM of 6534 and 6539?

Answer: LCM of 6534 and 6539 is 42725826.

2. What are the Factors of 6534?

Answer: Factors of 6534 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 121, 198, 242, 297, 363, 594, 726, 1089, 2178, 3267, 6534. There are 24 integers that are factors of 6534. The greatest factor of 6534 is 6534.

3. 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.

4. How to Find the LCM of 6534 and 6539?

Answer:

Least Common Multiple of 6534 and 6539 = 42725826

Step 1: Find the prime factorization of 6534

6534 = 2 x 3 x 3 x 3 x 11 x 11

Step 2: Find the prime factorization of 6539

6539 = 13 x 503

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

LCM = 42725826 = 2 x 3 x 3 x 3 x 11 x 11 x 13 x 503

Step 4: Therefore, the least common multiple of 6534 and 6539 is 42725826.