Least Common Multiple of 6534 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 6534 and 6540 the smallest integer that is 7122060 that is divisible by both numbers.

Least Common Multiple (LCM) of 6534 and 6540 is 7122060.

LCM(6534,6540) = 7122060

LCM of 6534 and 6540

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

LCM of:
and

Least Common Multiple of 6534 and 6540

LCM of 6534 and 6540 is 7122060

Least common multiple can be found by multiplying the highest exponent prime factors of 6534 and 6540. First we will calculate the prime factors of 6534 and 6540.

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 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 6534 and 6540.

LCM(6534,6540) = 22×33×51×112×1091
LCM(6534,6540) = 7122060

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 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 6534 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 6534 and 6540, than apply into the LCM equation.

GCF(6534,6540) = 6
LCM(6534,6540) = ( 6534 × 6540) / 6
LCM(6534,6540) = 42732360 / 6
LCM(6534,6540) = 7122060

Properties of LCM 6534 and 6540

(i) The LCM of 6540 and 6534 is associative

LCM of 6534 and 6540 = LCM of 6540 and 6534

Related Least Common Multiples of 6534

Related Least Common Multiples of 6540

Frequently Asked Questions on LCM of 6534 and 6540

1. What is the LCM of 6534 and 6540?

Answer: LCM of 6534 and 6540 is 7122060.

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 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 6534 and 6540?

Answer:

Least Common Multiple of 6534 and 6540 = 7122060

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 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 = 7122060 = 2 x 2 x 3 x 3 x 3 x 5 x 11 x 11 x 109

Step 4: Therefore, the least common multiple of 6534 and 6540 is 7122060.