Least Common Multiple of 5534 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 5534 and 5542 the smallest integer that is 15334714 that is divisible by both numbers.

Least Common Multiple (LCM) of 5534 and 5542 is 15334714.

LCM(5534,5542) = 15334714

LCM of 5534 and 5542

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

LCM of:
and

Least Common Multiple of 5534 and 5542

LCM of 5534 and 5542 is 15334714

Least common multiple can be found by multiplying the highest exponent prime factors of 5534 and 5542. First we will calculate the prime factors of 5534 and 5542.

Prime Factorization of 5534


2 5534
2767 2767
1

Prime factors of 5534 are 2,2767. Prime factorization of 5534 in exponential form is:

5534 = 21×27671

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 5534 and 5542.

LCM(5534,5542) = 21×171×1631×27671
LCM(5534,5542) = 15334714

Factors of 5534

List of positive integer factors of 5534 that divides 5534 without a remainder.

1, 2, 2767, 5534

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 5534 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 5534 and 5542, than apply into the LCM equation.

GCF(5534,5542) = 2
LCM(5534,5542) = ( 5534 × 5542) / 2
LCM(5534,5542) = 30669428 / 2
LCM(5534,5542) = 15334714

Properties of LCM 5534 and 5542

(i) The LCM of 5542 and 5534 is associative

LCM of 5534 and 5542 = LCM of 5542 and 5534

Related Least Common Multiples of 5534

Related Least Common Multiples of 5542

Frequently Asked Questions on LCM of 5534 and 5542

1. What is the LCM of 5534 and 5542?

Answer: LCM of 5534 and 5542 is 15334714.

2. What are the Factors of 5534?

Answer: Factors of 5534 are 1, 2, 2767, 5534. There are 4 integers that are factors of 5534. The greatest factor of 5534 is 5534.

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 5534 and 5542?

Answer:

Least Common Multiple of 5534 and 5542 = 15334714

Step 1: Find the prime factorization of 5534

5534 = 2 x 2767

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 = 15334714 = 2 x 17 x 163 x 2767

Step 4: Therefore, the least common multiple of 5534 and 5542 is 15334714.