Least Common Multiple of 5602 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 5602 and 5606 the smallest integer that is 15702406 that is divisible by both numbers.

Least Common Multiple (LCM) of 5602 and 5606 is 15702406.

LCM(5602,5606) = 15702406

LCM of 5602 and 5606

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

LCM of:
and

Least Common Multiple of 5602 and 5606

LCM of 5602 and 5606 is 15702406

Least common multiple can be found by multiplying the highest exponent prime factors of 5602 and 5606. First we will calculate the prime factors of 5602 and 5606.

Prime Factorization of 5602


2 5602
2801 2801
1

Prime factors of 5602 are 2,2801. Prime factorization of 5602 in exponential form is:

5602 = 21×28011

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 5602 and 5606.

LCM(5602,5606) = 21×28011×28031
LCM(5602,5606) = 15702406

Factors of 5602

List of positive integer factors of 5602 that divides 5602 without a remainder.

1, 2, 2801, 5602

Factors of 5606

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

1, 2, 2803, 5606

Least Common Multiple of 5602 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 5602 and 5606, than apply into the LCM equation.

GCF(5602,5606) = 2
LCM(5602,5606) = ( 5602 × 5606) / 2
LCM(5602,5606) = 31404812 / 2
LCM(5602,5606) = 15702406

Properties of LCM 5602 and 5606

(i) The LCM of 5606 and 5602 is associative

LCM of 5602 and 5606 = LCM of 5606 and 5602

Related Least Common Multiples of 5602

Related Least Common Multiples of 5606

Frequently Asked Questions on LCM of 5602 and 5606

1. What is the LCM of 5602 and 5606?

Answer: LCM of 5602 and 5606 is 15702406.

2. What are the Factors of 5602?

Answer: Factors of 5602 are 1, 2, 2801, 5602. There are 4 integers that are factors of 5602. The greatest factor of 5602 is 5602.

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 5602 and 5606?

Answer:

Least Common Multiple of 5602 and 5606 = 15702406

Step 1: Find the prime factorization of 5602

5602 = 2 x 2801

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 = 15702406 = 2 x 2801 x 2803

Step 4: Therefore, the least common multiple of 5602 and 5606 is 15702406.