Least Common Multiple of 5597 and 5604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5597 and 5604 the smallest integer that is 31365588 that is divisible by both numbers.

Least Common Multiple (LCM) of 5597 and 5604 is 31365588.

LCM(5597,5604) = 31365588

LCM of 5597 and 5604

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

LCM of:
and

Least Common Multiple of 5597 and 5604

LCM of 5597 and 5604 is 31365588

Least common multiple can be found by multiplying the highest exponent prime factors of 5597 and 5604. First we will calculate the prime factors of 5597 and 5604.

Prime Factorization of 5597


29 5597
193 193
1

Prime factors of 5597 are 29,193. Prime factorization of 5597 in exponential form is:

5597 = 291×1931

Prime Factorization of 5604


2 5604
2 2802
3 1401
467 467
1

Prime factors of 5604 are 2, 3,467. Prime factorization of 5604 in exponential form is:

5604 = 22×31×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 5597 and 5604.

LCM(5597,5604) = 22×31×291×1931×4671
LCM(5597,5604) = 31365588

Factors of 5597

List of positive integer factors of 5597 that divides 5597 without a remainder.

1, 29, 193, 5597

Factors of 5604

List of positive integer factors of 5604 that divides 5604 without a remainder.

1, 2, 3, 4, 6, 12, 467, 934, 1401, 1868, 2802, 5604

Least Common Multiple of 5597 and 5604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5597 and 5604, than apply into the LCM equation.

GCF(5597,5604) = 1
LCM(5597,5604) = ( 5597 × 5604) / 1
LCM(5597,5604) = 31365588 / 1
LCM(5597,5604) = 31365588

Properties of LCM 5597 and 5604

(i) The LCM of 5604 and 5597 is associative

LCM of 5597 and 5604 = LCM of 5604 and 5597

Related Least Common Multiples of 5597

Related Least Common Multiples of 5604

Frequently Asked Questions on LCM of 5597 and 5604

1. What is the LCM of 5597 and 5604?

Answer: LCM of 5597 and 5604 is 31365588.

2. What are the Factors of 5597?

Answer: Factors of 5597 are 1, 29, 193, 5597. There are 4 integers that are factors of 5597. The greatest factor of 5597 is 5597.

3. What are the Factors of 5604?

Answer: Factors of 5604 are 1, 2, 3, 4, 6, 12, 467, 934, 1401, 1868, 2802, 5604. There are 12 integers that are factors of 5604. The greatest factor of 5604 is 5604.

4. How to Find the LCM of 5597 and 5604?

Answer:

Least Common Multiple of 5597 and 5604 = 31365588

Step 1: Find the prime factorization of 5597

5597 = 29 x 193

Step 2: Find the prime factorization of 5604

5604 = 2 x 2 x 3 x 467

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

LCM = 31365588 = 2 x 2 x 3 x 29 x 193 x 467

Step 4: Therefore, the least common multiple of 5597 and 5604 is 31365588.