Least Common Multiple of 5534 and 5538

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 5538 the smallest integer that is 15323646 that is divisible by both numbers.

Least Common Multiple (LCM) of 5534 and 5538 is 15323646.

LCM(5534,5538) = 15323646

LCM of 5534 and 5538

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

LCM of:
and

Least Common Multiple of 5534 and 5538

LCM of 5534 and 5538 is 15323646

Least common multiple can be found by multiplying the highest exponent prime factors of 5534 and 5538. First we will calculate the prime factors of 5534 and 5538.

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 5538


2 5538
3 2769
13 923
71 71
1

Prime factors of 5538 are 2, 3, 13,71. Prime factorization of 5538 in exponential form is:

5538 = 21×31×131×711

Now multiplying the highest exponent prime factors to calculate the LCM of 5534 and 5538.

LCM(5534,5538) = 21×31×131×711×27671
LCM(5534,5538) = 15323646

Factors of 5534

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

1, 2, 2767, 5534

Factors of 5538

List of positive integer factors of 5538 that divides 5538 without a remainder.

1, 2, 3, 6, 13, 26, 39, 71, 78, 142, 213, 426, 923, 1846, 2769, 5538

Least Common Multiple of 5534 and 5538 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 5538, than apply into the LCM equation.

GCF(5534,5538) = 2
LCM(5534,5538) = ( 5534 × 5538) / 2
LCM(5534,5538) = 30647292 / 2
LCM(5534,5538) = 15323646

Properties of LCM 5534 and 5538

(i) The LCM of 5538 and 5534 is associative

LCM of 5534 and 5538 = LCM of 5538 and 5534

Related Least Common Multiples of 5534

Related Least Common Multiples of 5538

Frequently Asked Questions on LCM of 5534 and 5538

1. What is the LCM of 5534 and 5538?

Answer: LCM of 5534 and 5538 is 15323646.

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 5538?

Answer: Factors of 5538 are 1, 2, 3, 6, 13, 26, 39, 71, 78, 142, 213, 426, 923, 1846, 2769, 5538. There are 16 integers that are factors of 5538. The greatest factor of 5538 is 5538.

4. How to Find the LCM of 5534 and 5538?

Answer:

Least Common Multiple of 5534 and 5538 = 15323646

Step 1: Find the prime factorization of 5534

5534 = 2 x 2767

Step 2: Find the prime factorization of 5538

5538 = 2 x 3 x 13 x 71

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

LCM = 15323646 = 2 x 3 x 13 x 71 x 2767

Step 4: Therefore, the least common multiple of 5534 and 5538 is 15323646.