Least Common Multiple of 5589 and 5595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5589 and 5595 the smallest integer that is 10423485 that is divisible by both numbers.

Least Common Multiple (LCM) of 5589 and 5595 is 10423485.

LCM(5589,5595) = 10423485

LCM of 5589 and 5595

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

LCM of:
and

Least Common Multiple of 5589 and 5595

LCM of 5589 and 5595 is 10423485

Least common multiple can be found by multiplying the highest exponent prime factors of 5589 and 5595. First we will calculate the prime factors of 5589 and 5595.

Prime Factorization of 5589


3 5589
3 1863
3 621
3 207
3 69
23 23
1

Prime factors of 5589 are 3,23. Prime factorization of 5589 in exponential form is:

5589 = 35×231

Prime Factorization of 5595


3 5595
5 1865
373 373
1

Prime factors of 5595 are 3, 5,373. Prime factorization of 5595 in exponential form is:

5595 = 31×51×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 5589 and 5595.

LCM(5589,5595) = 35×51×231×3731
LCM(5589,5595) = 10423485

Factors of 5589

List of positive integer factors of 5589 that divides 5589 without a remainder.

1, 3, 9, 23, 27, 69, 81, 207, 243, 621, 1863, 5589

Factors of 5595

List of positive integer factors of 5595 that divides 5595 without a remainder.

1, 3, 5, 15, 373, 1119, 1865, 5595

Least Common Multiple of 5589 and 5595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5589 and 5595, than apply into the LCM equation.

GCF(5589,5595) = 3
LCM(5589,5595) = ( 5589 × 5595) / 3
LCM(5589,5595) = 31270455 / 3
LCM(5589,5595) = 10423485

Properties of LCM 5589 and 5595

(i) The LCM of 5595 and 5589 is associative

LCM of 5589 and 5595 = LCM of 5595 and 5589

Related Least Common Multiples of 5589

Related Least Common Multiples of 5595

Frequently Asked Questions on LCM of 5589 and 5595

1. What is the LCM of 5589 and 5595?

Answer: LCM of 5589 and 5595 is 10423485.

2. What are the Factors of 5589?

Answer: Factors of 5589 are 1, 3, 9, 23, 27, 69, 81, 207, 243, 621, 1863, 5589. There are 12 integers that are factors of 5589. The greatest factor of 5589 is 5589.

3. What are the Factors of 5595?

Answer: Factors of 5595 are 1, 3, 5, 15, 373, 1119, 1865, 5595. There are 8 integers that are factors of 5595. The greatest factor of 5595 is 5595.

4. How to Find the LCM of 5589 and 5595?

Answer:

Least Common Multiple of 5589 and 5595 = 10423485

Step 1: Find the prime factorization of 5589

5589 = 3 x 3 x 3 x 3 x 3 x 23

Step 2: Find the prime factorization of 5595

5595 = 3 x 5 x 373

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

LCM = 10423485 = 3 x 3 x 3 x 3 x 3 x 5 x 23 x 373

Step 4: Therefore, the least common multiple of 5589 and 5595 is 10423485.