Least Common Multiple of 6540 and 6547

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 6547 the smallest integer that is 42817380 that is divisible by both numbers.

Least Common Multiple (LCM) of 6540 and 6547 is 42817380.

LCM(6540,6547) = 42817380

LCM of 6540 and 6547

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

LCM of:
and

Least Common Multiple of 6540 and 6547

LCM of 6540 and 6547 is 42817380

Least common multiple can be found by multiplying the highest exponent prime factors of 6540 and 6547. First we will calculate the prime factors of 6540 and 6547.

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 6547


6547 6547
1

Prime factors of 6547 are 6547. Prime factorization of 6547 in exponential form is:

6547 = 65471

Now multiplying the highest exponent prime factors to calculate the LCM of 6540 and 6547.

LCM(6540,6547) = 22×31×51×1091×65471
LCM(6540,6547) = 42817380

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 6547

List of positive integer factors of 6547 that divides 6547 without a remainder.

1, 6547

Least Common Multiple of 6540 and 6547 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 6547, than apply into the LCM equation.

GCF(6540,6547) = 1
LCM(6540,6547) = ( 6540 × 6547) / 1
LCM(6540,6547) = 42817380 / 1
LCM(6540,6547) = 42817380

Properties of LCM 6540 and 6547

(i) The LCM of 6547 and 6540 is associative

LCM of 6540 and 6547 = LCM of 6547 and 6540

Related Least Common Multiples of 6540

Related Least Common Multiples of 6547

Frequently Asked Questions on LCM of 6540 and 6547

1. What is the LCM of 6540 and 6547?

Answer: LCM of 6540 and 6547 is 42817380.

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 6547?

Answer: Factors of 6547 are 1, 6547. There are 2 integers that are factors of 6547. The greatest factor of 6547 is 6547.

4. How to Find the LCM of 6540 and 6547?

Answer:

Least Common Multiple of 6540 and 6547 = 42817380

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 6547

6547 = 6547

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

LCM = 42817380 = 2 x 2 x 3 x 5 x 109 x 6547

Step 4: Therefore, the least common multiple of 6540 and 6547 is 42817380.