Least Common Multiple of 6540 and 6544

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 6544 the smallest integer that is 10699440 that is divisible by both numbers.

Least Common Multiple (LCM) of 6540 and 6544 is 10699440.

LCM(6540,6544) = 10699440

LCM of 6540 and 6544

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

LCM of:
and

Least Common Multiple of 6540 and 6544

LCM of 6540 and 6544 is 10699440

Least common multiple can be found by multiplying the highest exponent prime factors of 6540 and 6544. First we will calculate the prime factors of 6540 and 6544.

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 6544


2 6544
2 3272
2 1636
2 818
409 409
1

Prime factors of 6544 are 2,409. Prime factorization of 6544 in exponential form is:

6544 = 24×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 6540 and 6544.

LCM(6540,6544) = 24×31×51×1091×4091
LCM(6540,6544) = 10699440

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 6544

List of positive integer factors of 6544 that divides 6544 without a remainder.

1, 2, 4, 8, 16, 409, 818, 1636, 3272, 6544

Least Common Multiple of 6540 and 6544 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 6544, than apply into the LCM equation.

GCF(6540,6544) = 4
LCM(6540,6544) = ( 6540 × 6544) / 4
LCM(6540,6544) = 42797760 / 4
LCM(6540,6544) = 10699440

Properties of LCM 6540 and 6544

(i) The LCM of 6544 and 6540 is associative

LCM of 6540 and 6544 = LCM of 6544 and 6540

Related Least Common Multiples of 6540

Related Least Common Multiples of 6544

Frequently Asked Questions on LCM of 6540 and 6544

1. What is the LCM of 6540 and 6544?

Answer: LCM of 6540 and 6544 is 10699440.

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 6544?

Answer: Factors of 6544 are 1, 2, 4, 8, 16, 409, 818, 1636, 3272, 6544. There are 10 integers that are factors of 6544. The greatest factor of 6544 is 6544.

4. How to Find the LCM of 6540 and 6544?

Answer:

Least Common Multiple of 6540 and 6544 = 10699440

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 6544

6544 = 2 x 2 x 2 x 2 x 409

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

LCM = 10699440 = 2 x 2 x 2 x 2 x 3 x 5 x 109 x 409

Step 4: Therefore, the least common multiple of 6540 and 6544 is 10699440.