Least Common Multiple of 5535 and 5542

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 5542 the smallest integer that is 30674970 that is divisible by both numbers.

Least Common Multiple (LCM) of 5535 and 5542 is 30674970.

LCM(5535,5542) = 30674970

LCM of 5535 and 5542

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

LCM of:
and

Least Common Multiple of 5535 and 5542

LCM of 5535 and 5542 is 30674970

Least common multiple can be found by multiplying the highest exponent prime factors of 5535 and 5542. First we will calculate the prime factors of 5535 and 5542.

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 5542


2 5542
17 2771
163 163
1

Prime factors of 5542 are 2, 17,163. Prime factorization of 5542 in exponential form is:

5542 = 21×171×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 5535 and 5542.

LCM(5535,5542) = 21×33×51×171×411×1631
LCM(5535,5542) = 30674970

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 5542

List of positive integer factors of 5542 that divides 5542 without a remainder.

1, 2, 17, 34, 163, 326, 2771, 5542

Least Common Multiple of 5535 and 5542 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 5542, than apply into the LCM equation.

GCF(5535,5542) = 1
LCM(5535,5542) = ( 5535 × 5542) / 1
LCM(5535,5542) = 30674970 / 1
LCM(5535,5542) = 30674970

Properties of LCM 5535 and 5542

(i) The LCM of 5542 and 5535 is associative

LCM of 5535 and 5542 = LCM of 5542 and 5535

Related Least Common Multiples of 5535

Related Least Common Multiples of 5542

Frequently Asked Questions on LCM of 5535 and 5542

1. What is the LCM of 5535 and 5542?

Answer: LCM of 5535 and 5542 is 30674970.

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 5542?

Answer: Factors of 5542 are 1, 2, 17, 34, 163, 326, 2771, 5542. There are 8 integers that are factors of 5542. The greatest factor of 5542 is 5542.

4. How to Find the LCM of 5535 and 5542?

Answer:

Least Common Multiple of 5535 and 5542 = 30674970

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 5542

5542 = 2 x 17 x 163

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

LCM = 30674970 = 2 x 3 x 3 x 3 x 5 x 17 x 41 x 163

Step 4: Therefore, the least common multiple of 5535 and 5542 is 30674970.