Least Common Multiple of 5601 and 5606

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 5606 the smallest integer that is 31399206 that is divisible by both numbers.

Least Common Multiple (LCM) of 5601 and 5606 is 31399206.

LCM(5601,5606) = 31399206

LCM of 5601 and 5606

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

LCM of:
and

Least Common Multiple of 5601 and 5606

LCM of 5601 and 5606 is 31399206

Least common multiple can be found by multiplying the highest exponent prime factors of 5601 and 5606. First we will calculate the prime factors of 5601 and 5606.

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 5606


2 5606
2803 2803
1

Prime factors of 5606 are 2,2803. Prime factorization of 5606 in exponential form is:

5606 = 21×28031

Now multiplying the highest exponent prime factors to calculate the LCM of 5601 and 5606.

LCM(5601,5606) = 21×31×18671×28031
LCM(5601,5606) = 31399206

Factors of 5601

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

1, 3, 1867, 5601

Factors of 5606

List of positive integer factors of 5606 that divides 5606 without a remainder.

1, 2, 2803, 5606

Least Common Multiple of 5601 and 5606 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 5606, than apply into the LCM equation.

GCF(5601,5606) = 1
LCM(5601,5606) = ( 5601 × 5606) / 1
LCM(5601,5606) = 31399206 / 1
LCM(5601,5606) = 31399206

Properties of LCM 5601 and 5606

(i) The LCM of 5606 and 5601 is associative

LCM of 5601 and 5606 = LCM of 5606 and 5601

Related Least Common Multiples of 5601

Related Least Common Multiples of 5606

Frequently Asked Questions on LCM of 5601 and 5606

1. What is the LCM of 5601 and 5606?

Answer: LCM of 5601 and 5606 is 31399206.

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 5606?

Answer: Factors of 5606 are 1, 2, 2803, 5606. There are 4 integers that are factors of 5606. The greatest factor of 5606 is 5606.

4. How to Find the LCM of 5601 and 5606?

Answer:

Least Common Multiple of 5601 and 5606 = 31399206

Step 1: Find the prime factorization of 5601

5601 = 3 x 1867

Step 2: Find the prime factorization of 5606

5606 = 2 x 2803

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

LCM = 31399206 = 2 x 3 x 1867 x 2803

Step 4: Therefore, the least common multiple of 5601 and 5606 is 31399206.