Least Common Multiple of 5601 and 5605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5601 and 5605 the smallest integer that is 31393605 that is divisible by both numbers.

Least Common Multiple (LCM) of 5601 and 5605 is 31393605.

LCM(5601,5605) = 31393605

LCM of 5601 and 5605

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

LCM of:
and

Least Common Multiple of 5601 and 5605

LCM of 5601 and 5605 is 31393605

Least common multiple can be found by multiplying the highest exponent prime factors of 5601 and 5605. First we will calculate the prime factors of 5601 and 5605.

Prime Factorization of 5601


3 5601
1867 1867
1

Prime factors of 5601 are 3,1867. Prime factorization of 5601 in exponential form is:

5601 = 31×18671

Prime Factorization of 5605


5 5605
19 1121
59 59
1

Prime factors of 5605 are 5, 19,59. Prime factorization of 5605 in exponential form is:

5605 = 51×191×591

Now multiplying the highest exponent prime factors to calculate the LCM of 5601 and 5605.

LCM(5601,5605) = 31×51×191×591×18671
LCM(5601,5605) = 31393605

Factors of 5601

List of positive integer factors of 5601 that divides 5601 without a remainder.

1, 3, 1867, 5601

Factors of 5605

List of positive integer factors of 5605 that divides 5605 without a remainder.

1, 5, 19, 59, 95, 295, 1121, 5605

Least Common Multiple of 5601 and 5605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5601 and 5605, than apply into the LCM equation.

GCF(5601,5605) = 1
LCM(5601,5605) = ( 5601 × 5605) / 1
LCM(5601,5605) = 31393605 / 1
LCM(5601,5605) = 31393605

Properties of LCM 5601 and 5605

(i) The LCM of 5605 and 5601 is associative

LCM of 5601 and 5605 = LCM of 5605 and 5601

Related Least Common Multiples of 5601

Related Least Common Multiples of 5605

Frequently Asked Questions on LCM of 5601 and 5605

1. What is the LCM of 5601 and 5605?

Answer: LCM of 5601 and 5605 is 31393605.

2. What are the Factors of 5601?

Answer: Factors of 5601 are 1, 3, 1867, 5601. There are 4 integers that are factors of 5601. The greatest factor of 5601 is 5601.

3. What are the Factors of 5605?

Answer: Factors of 5605 are 1, 5, 19, 59, 95, 295, 1121, 5605. There are 8 integers that are factors of 5605. The greatest factor of 5605 is 5605.

4. How to Find the LCM of 5601 and 5605?

Answer:

Least Common Multiple of 5601 and 5605 = 31393605

Step 1: Find the prime factorization of 5601

5601 = 3 x 1867

Step 2: Find the prime factorization of 5605

5605 = 5 x 19 x 59

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

LCM = 31393605 = 3 x 5 x 19 x 59 x 1867

Step 4: Therefore, the least common multiple of 5601 and 5605 is 31393605.