Least Common Multiple of 5595 and 5602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5595 and 5602 the smallest integer that is 31343190 that is divisible by both numbers.

Least Common Multiple (LCM) of 5595 and 5602 is 31343190.

LCM(5595,5602) = 31343190

LCM of 5595 and 5602

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

LCM of:
and

Least Common Multiple of 5595 and 5602

LCM of 5595 and 5602 is 31343190

Least common multiple can be found by multiplying the highest exponent prime factors of 5595 and 5602. First we will calculate the prime factors of 5595 and 5602.

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

Prime Factorization of 5602


2 5602
2801 2801
1

Prime factors of 5602 are 2,2801. Prime factorization of 5602 in exponential form is:

5602 = 21×28011

Now multiplying the highest exponent prime factors to calculate the LCM of 5595 and 5602.

LCM(5595,5602) = 21×31×51×3731×28011
LCM(5595,5602) = 31343190

Factors of 5595

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

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

Factors of 5602

List of positive integer factors of 5602 that divides 5602 without a remainder.

1, 2, 2801, 5602

Least Common Multiple of 5595 and 5602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5595 and 5602, than apply into the LCM equation.

GCF(5595,5602) = 1
LCM(5595,5602) = ( 5595 × 5602) / 1
LCM(5595,5602) = 31343190 / 1
LCM(5595,5602) = 31343190

Properties of LCM 5595 and 5602

(i) The LCM of 5602 and 5595 is associative

LCM of 5595 and 5602 = LCM of 5602 and 5595

Related Least Common Multiples of 5595

Related Least Common Multiples of 5602

Frequently Asked Questions on LCM of 5595 and 5602

1. What is the LCM of 5595 and 5602?

Answer: LCM of 5595 and 5602 is 31343190.

2. 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.

3. What are the Factors of 5602?

Answer: Factors of 5602 are 1, 2, 2801, 5602. There are 4 integers that are factors of 5602. The greatest factor of 5602 is 5602.

4. How to Find the LCM of 5595 and 5602?

Answer:

Least Common Multiple of 5595 and 5602 = 31343190

Step 1: Find the prime factorization of 5595

5595 = 3 x 5 x 373

Step 2: Find the prime factorization of 5602

5602 = 2 x 2801

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

LCM = 31343190 = 2 x 3 x 5 x 373 x 2801

Step 4: Therefore, the least common multiple of 5595 and 5602 is 31343190.