Least Common Multiple of 5535 and 5540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5535 and 5540 the smallest integer that is 6132780 that is divisible by both numbers.

Least Common Multiple (LCM) of 5535 and 5540 is 6132780.

LCM(5535,5540) = 6132780

LCM of 5535 and 5540

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

LCM of:
and

Least Common Multiple of 5535 and 5540

LCM of 5535 and 5540 is 6132780

Least common multiple can be found by multiplying the highest exponent prime factors of 5535 and 5540. First we will calculate the prime factors of 5535 and 5540.

Prime Factorization of 5535


3 5535
3 1845
3 615
5 205
41 41
1

Prime factors of 5535 are 3, 5,41. Prime factorization of 5535 in exponential form is:

5535 = 33×51×411

Prime Factorization of 5540


2 5540
2 2770
5 1385
277 277
1

Prime factors of 5540 are 2, 5,277. Prime factorization of 5540 in exponential form is:

5540 = 22×51×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 5535 and 5540.

LCM(5535,5540) = 22×33×51×411×2771
LCM(5535,5540) = 6132780

Factors of 5535

List of positive integer factors of 5535 that divides 5535 without a remainder.

1, 3, 5, 9, 15, 27, 41, 45, 123, 135, 205, 369, 615, 1107, 1845, 5535

Factors of 5540

List of positive integer factors of 5540 that divides 5540 without a remainder.

1, 2, 4, 5, 10, 20, 277, 554, 1108, 1385, 2770, 5540

Least Common Multiple of 5535 and 5540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5535 and 5540, than apply into the LCM equation.

GCF(5535,5540) = 5
LCM(5535,5540) = ( 5535 × 5540) / 5
LCM(5535,5540) = 30663900 / 5
LCM(5535,5540) = 6132780

Properties of LCM 5535 and 5540

(i) The LCM of 5540 and 5535 is associative

LCM of 5535 and 5540 = LCM of 5540 and 5535

Related Least Common Multiples of 5535

Related Least Common Multiples of 5540

Frequently Asked Questions on LCM of 5535 and 5540

1. What is the LCM of 5535 and 5540?

Answer: LCM of 5535 and 5540 is 6132780.

2. What are the Factors of 5535?

Answer: Factors of 5535 are 1, 3, 5, 9, 15, 27, 41, 45, 123, 135, 205, 369, 615, 1107, 1845, 5535. There are 16 integers that are factors of 5535. The greatest factor of 5535 is 5535.

3. What are the Factors of 5540?

Answer: Factors of 5540 are 1, 2, 4, 5, 10, 20, 277, 554, 1108, 1385, 2770, 5540. There are 12 integers that are factors of 5540. The greatest factor of 5540 is 5540.

4. How to Find the LCM of 5535 and 5540?

Answer:

Least Common Multiple of 5535 and 5540 = 6132780

Step 1: Find the prime factorization of 5535

5535 = 3 x 3 x 3 x 5 x 41

Step 2: Find the prime factorization of 5540

5540 = 2 x 2 x 5 x 277

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

LCM = 6132780 = 2 x 2 x 3 x 3 x 3 x 5 x 41 x 277

Step 4: Therefore, the least common multiple of 5535 and 5540 is 6132780.