Least Common Multiple of 5586 and 5594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5586 and 5594 the smallest integer that is 15624042 that is divisible by both numbers.

Least Common Multiple (LCM) of 5586 and 5594 is 15624042.

LCM(5586,5594) = 15624042

LCM of 5586 and 5594

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

LCM of:
and

Least Common Multiple of 5586 and 5594

LCM of 5586 and 5594 is 15624042

Least common multiple can be found by multiplying the highest exponent prime factors of 5586 and 5594. First we will calculate the prime factors of 5586 and 5594.

Prime Factorization of 5586


2 5586
3 2793
7 931
7 133
19 19
1

Prime factors of 5586 are 2, 3, 7,19. Prime factorization of 5586 in exponential form is:

5586 = 21×31×72×191

Prime Factorization of 5594


2 5594
2797 2797
1

Prime factors of 5594 are 2,2797. Prime factorization of 5594 in exponential form is:

5594 = 21×27971

Now multiplying the highest exponent prime factors to calculate the LCM of 5586 and 5594.

LCM(5586,5594) = 21×31×72×191×27971
LCM(5586,5594) = 15624042

Factors of 5586

List of positive integer factors of 5586 that divides 5586 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 49, 57, 98, 114, 133, 147, 266, 294, 399, 798, 931, 1862, 2793, 5586

Factors of 5594

List of positive integer factors of 5594 that divides 5594 without a remainder.

1, 2, 2797, 5594

Least Common Multiple of 5586 and 5594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5586 and 5594, than apply into the LCM equation.

GCF(5586,5594) = 2
LCM(5586,5594) = ( 5586 × 5594) / 2
LCM(5586,5594) = 31248084 / 2
LCM(5586,5594) = 15624042

Properties of LCM 5586 and 5594

(i) The LCM of 5594 and 5586 is associative

LCM of 5586 and 5594 = LCM of 5594 and 5586

Related Least Common Multiples of 5586

Related Least Common Multiples of 5594

Frequently Asked Questions on LCM of 5586 and 5594

1. What is the LCM of 5586 and 5594?

Answer: LCM of 5586 and 5594 is 15624042.

2. What are the Factors of 5586?

Answer: Factors of 5586 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 49, 57, 98, 114, 133, 147, 266, 294, 399, 798, 931, 1862, 2793, 5586. There are 24 integers that are factors of 5586. The greatest factor of 5586 is 5586.

3. What are the Factors of 5594?

Answer: Factors of 5594 are 1, 2, 2797, 5594. There are 4 integers that are factors of 5594. The greatest factor of 5594 is 5594.

4. How to Find the LCM of 5586 and 5594?

Answer:

Least Common Multiple of 5586 and 5594 = 15624042

Step 1: Find the prime factorization of 5586

5586 = 2 x 3 x 7 x 7 x 19

Step 2: Find the prime factorization of 5594

5594 = 2 x 2797

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

LCM = 15624042 = 2 x 3 x 7 x 7 x 19 x 2797

Step 4: Therefore, the least common multiple of 5586 and 5594 is 15624042.