Least Common Multiple of 5594 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 5594 and 5598 the smallest integer that is 15657606 that is divisible by both numbers.

Least Common Multiple (LCM) of 5594 and 5598 is 15657606.

LCM(5594,5598) = 15657606

LCM of 5594 and 5598

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

LCM of:
and

Least Common Multiple of 5594 and 5598

LCM of 5594 and 5598 is 15657606

Least common multiple can be found by multiplying the highest exponent prime factors of 5594 and 5598. First we will calculate the prime factors of 5594 and 5598.

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

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 5594 and 5598.

LCM(5594,5598) = 21×32×3111×27971
LCM(5594,5598) = 15657606

Factors of 5594

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

1, 2, 2797, 5594

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 5594 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 5594 and 5598, than apply into the LCM equation.

GCF(5594,5598) = 2
LCM(5594,5598) = ( 5594 × 5598) / 2
LCM(5594,5598) = 31315212 / 2
LCM(5594,5598) = 15657606

Properties of LCM 5594 and 5598

(i) The LCM of 5598 and 5594 is associative

LCM of 5594 and 5598 = LCM of 5598 and 5594

Related Least Common Multiples of 5594

Related Least Common Multiples of 5598

Frequently Asked Questions on LCM of 5594 and 5598

1. What is the LCM of 5594 and 5598?

Answer: LCM of 5594 and 5598 is 15657606.

2. 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.

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 5594 and 5598?

Answer:

Least Common Multiple of 5594 and 5598 = 15657606

Step 1: Find the prime factorization of 5594

5594 = 2 x 2797

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 = 15657606 = 2 x 3 x 3 x 311 x 2797

Step 4: Therefore, the least common multiple of 5594 and 5598 is 15657606.