Least Common Multiple of 5599 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 5599 and 5604 the smallest integer that is 31376796 that is divisible by both numbers.

Least Common Multiple (LCM) of 5599 and 5604 is 31376796.

LCM(5599,5604) = 31376796

LCM of 5599 and 5604

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

LCM of:
and

Least Common Multiple of 5599 and 5604

LCM of 5599 and 5604 is 31376796

Least common multiple can be found by multiplying the highest exponent prime factors of 5599 and 5604. First we will calculate the prime factors of 5599 and 5604.

Prime Factorization of 5599


11 5599
509 509
1

Prime factors of 5599 are 11,509. Prime factorization of 5599 in exponential form is:

5599 = 111×5091

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 5599 and 5604.

LCM(5599,5604) = 22×31×111×4671×5091
LCM(5599,5604) = 31376796

Factors of 5599

List of positive integer factors of 5599 that divides 5599 without a remainder.

1, 11, 509, 5599

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 5599 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 5599 and 5604, than apply into the LCM equation.

GCF(5599,5604) = 1
LCM(5599,5604) = ( 5599 × 5604) / 1
LCM(5599,5604) = 31376796 / 1
LCM(5599,5604) = 31376796

Properties of LCM 5599 and 5604

(i) The LCM of 5604 and 5599 is associative

LCM of 5599 and 5604 = LCM of 5604 and 5599

Related Least Common Multiples of 5599

Related Least Common Multiples of 5604

Frequently Asked Questions on LCM of 5599 and 5604

1. What is the LCM of 5599 and 5604?

Answer: LCM of 5599 and 5604 is 31376796.

2. What are the Factors of 5599?

Answer: Factors of 5599 are 1, 11, 509, 5599. There are 4 integers that are factors of 5599. The greatest factor of 5599 is 5599.

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 5599 and 5604?

Answer:

Least Common Multiple of 5599 and 5604 = 31376796

Step 1: Find the prime factorization of 5599

5599 = 11 x 509

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 = 31376796 = 2 x 2 x 3 x 11 x 467 x 509

Step 4: Therefore, the least common multiple of 5599 and 5604 is 31376796.