Least Common Multiple of 5697 and 5702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5697 and 5702 the smallest integer that is 32484294 that is divisible by both numbers.

Least Common Multiple (LCM) of 5697 and 5702 is 32484294.

LCM(5697,5702) = 32484294

LCM of 5697 and 5702

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

LCM of:
and

Least Common Multiple of 5697 and 5702

LCM of 5697 and 5702 is 32484294

Least common multiple can be found by multiplying the highest exponent prime factors of 5697 and 5702. First we will calculate the prime factors of 5697 and 5702.

Prime Factorization of 5697


3 5697
3 1899
3 633
211 211
1

Prime factors of 5697 are 3,211. Prime factorization of 5697 in exponential form is:

5697 = 33×2111

Prime Factorization of 5702


2 5702
2851 2851
1

Prime factors of 5702 are 2,2851. Prime factorization of 5702 in exponential form is:

5702 = 21×28511

Now multiplying the highest exponent prime factors to calculate the LCM of 5697 and 5702.

LCM(5697,5702) = 21×33×2111×28511
LCM(5697,5702) = 32484294

Factors of 5697

List of positive integer factors of 5697 that divides 5697 without a remainder.

1, 3, 9, 27, 211, 633, 1899, 5697

Factors of 5702

List of positive integer factors of 5702 that divides 5702 without a remainder.

1, 2, 2851, 5702

Least Common Multiple of 5697 and 5702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5697 and 5702, than apply into the LCM equation.

GCF(5697,5702) = 1
LCM(5697,5702) = ( 5697 × 5702) / 1
LCM(5697,5702) = 32484294 / 1
LCM(5697,5702) = 32484294

Properties of LCM 5697 and 5702

(i) The LCM of 5702 and 5697 is associative

LCM of 5697 and 5702 = LCM of 5702 and 5697

Related Least Common Multiples of 5697

Related Least Common Multiples of 5702

Frequently Asked Questions on LCM of 5697 and 5702

1. What is the LCM of 5697 and 5702?

Answer: LCM of 5697 and 5702 is 32484294.

2. What are the Factors of 5697?

Answer: Factors of 5697 are 1, 3, 9, 27, 211, 633, 1899, 5697. There are 8 integers that are factors of 5697. The greatest factor of 5697 is 5697.

3. What are the Factors of 5702?

Answer: Factors of 5702 are 1, 2, 2851, 5702. There are 4 integers that are factors of 5702. The greatest factor of 5702 is 5702.

4. How to Find the LCM of 5697 and 5702?

Answer:

Least Common Multiple of 5697 and 5702 = 32484294

Step 1: Find the prime factorization of 5697

5697 = 3 x 3 x 3 x 211

Step 2: Find the prime factorization of 5702

5702 = 2 x 2851

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

LCM = 32484294 = 2 x 3 x 3 x 3 x 211 x 2851

Step 4: Therefore, the least common multiple of 5697 and 5702 is 32484294.