Least Common Multiple of 5590 and 5598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5590 and 5598 the smallest integer that is 15646410 that is divisible by both numbers.

Least Common Multiple (LCM) of 5590 and 5598 is 15646410.

LCM(5590,5598) = 15646410

LCM of 5590 and 5598

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

LCM of:
and

Least Common Multiple of 5590 and 5598

LCM of 5590 and 5598 is 15646410

Least common multiple can be found by multiplying the highest exponent prime factors of 5590 and 5598. First we will calculate the prime factors of 5590 and 5598.

Prime Factorization of 5590


2 5590
5 2795
13 559
43 43
1

Prime factors of 5590 are 2, 5, 13,43. Prime factorization of 5590 in exponential form is:

5590 = 21×51×131×431

Prime Factorization of 5598


2 5598
3 2799
3 933
311 311
1

Prime factors of 5598 are 2, 3,311. Prime factorization of 5598 in exponential form is:

5598 = 21×32×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 5590 and 5598.

LCM(5590,5598) = 21×32×51×131×431×3111
LCM(5590,5598) = 15646410

Factors of 5590

List of positive integer factors of 5590 that divides 5590 without a remainder.

1, 2, 5, 10, 13, 26, 43, 65, 86, 130, 215, 430, 559, 1118, 2795, 5590

Factors of 5598

List of positive integer factors of 5598 that divides 5598 without a remainder.

1, 2, 3, 6, 9, 18, 311, 622, 933, 1866, 2799, 5598

Least Common Multiple of 5590 and 5598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5590 and 5598, than apply into the LCM equation.

GCF(5590,5598) = 2
LCM(5590,5598) = ( 5590 × 5598) / 2
LCM(5590,5598) = 31292820 / 2
LCM(5590,5598) = 15646410

Properties of LCM 5590 and 5598

(i) The LCM of 5598 and 5590 is associative

LCM of 5590 and 5598 = LCM of 5598 and 5590

Related Least Common Multiples of 5590

Related Least Common Multiples of 5598

Frequently Asked Questions on LCM of 5590 and 5598

1. What is the LCM of 5590 and 5598?

Answer: LCM of 5590 and 5598 is 15646410.

2. What are the Factors of 5590?

Answer: Factors of 5590 are 1, 2, 5, 10, 13, 26, 43, 65, 86, 130, 215, 430, 559, 1118, 2795, 5590. There are 16 integers that are factors of 5590. The greatest factor of 5590 is 5590.

3. What are the Factors of 5598?

Answer: Factors of 5598 are 1, 2, 3, 6, 9, 18, 311, 622, 933, 1866, 2799, 5598. There are 12 integers that are factors of 5598. The greatest factor of 5598 is 5598.

4. How to Find the LCM of 5590 and 5598?

Answer:

Least Common Multiple of 5590 and 5598 = 15646410

Step 1: Find the prime factorization of 5590

5590 = 2 x 5 x 13 x 43

Step 2: Find the prime factorization of 5598

5598 = 2 x 3 x 3 x 311

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

LCM = 15646410 = 2 x 3 x 3 x 5 x 13 x 43 x 311

Step 4: Therefore, the least common multiple of 5590 and 5598 is 15646410.