Least Common Multiple of 5604 and 5609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5604 and 5609 the smallest integer that is 31432836 that is divisible by both numbers.

Least Common Multiple (LCM) of 5604 and 5609 is 31432836.

LCM(5604,5609) = 31432836

LCM of 5604 and 5609

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

LCM of:
and

Least Common Multiple of 5604 and 5609

LCM of 5604 and 5609 is 31432836

Least common multiple can be found by multiplying the highest exponent prime factors of 5604 and 5609. First we will calculate the prime factors of 5604 and 5609.

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

Prime Factorization of 5609


71 5609
79 79
1

Prime factors of 5609 are 71,79. Prime factorization of 5609 in exponential form is:

5609 = 711×791

Now multiplying the highest exponent prime factors to calculate the LCM of 5604 and 5609.

LCM(5604,5609) = 22×31×711×791×4671
LCM(5604,5609) = 31432836

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

Factors of 5609

List of positive integer factors of 5609 that divides 5609 without a remainder.

1, 71, 79, 5609

Least Common Multiple of 5604 and 5609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5604 and 5609, than apply into the LCM equation.

GCF(5604,5609) = 1
LCM(5604,5609) = ( 5604 × 5609) / 1
LCM(5604,5609) = 31432836 / 1
LCM(5604,5609) = 31432836

Properties of LCM 5604 and 5609

(i) The LCM of 5609 and 5604 is associative

LCM of 5604 and 5609 = LCM of 5609 and 5604

Related Least Common Multiples of 5604

Related Least Common Multiples of 5609

Frequently Asked Questions on LCM of 5604 and 5609

1. What is the LCM of 5604 and 5609?

Answer: LCM of 5604 and 5609 is 31432836.

2. 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.

3. What are the Factors of 5609?

Answer: Factors of 5609 are 1, 71, 79, 5609. There are 4 integers that are factors of 5609. The greatest factor of 5609 is 5609.

4. How to Find the LCM of 5604 and 5609?

Answer:

Least Common Multiple of 5604 and 5609 = 31432836

Step 1: Find the prime factorization of 5604

5604 = 2 x 2 x 3 x 467

Step 2: Find the prime factorization of 5609

5609 = 71 x 79

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

LCM = 31432836 = 2 x 2 x 3 x 71 x 79 x 467

Step 4: Therefore, the least common multiple of 5604 and 5609 is 31432836.