Least Common Multiple of 5697 and 5704

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 5704 the smallest integer that is 32495688 that is divisible by both numbers.

Least Common Multiple (LCM) of 5697 and 5704 is 32495688.

LCM(5697,5704) = 32495688

LCM of 5697 and 5704

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

LCM of:
and

Least Common Multiple of 5697 and 5704

LCM of 5697 and 5704 is 32495688

Least common multiple can be found by multiplying the highest exponent prime factors of 5697 and 5704. First we will calculate the prime factors of 5697 and 5704.

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 5704


2 5704
2 2852
2 1426
23 713
31 31
1

Prime factors of 5704 are 2, 23,31. Prime factorization of 5704 in exponential form is:

5704 = 23×231×311

Now multiplying the highest exponent prime factors to calculate the LCM of 5697 and 5704.

LCM(5697,5704) = 23×33×231×311×2111
LCM(5697,5704) = 32495688

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 5704

List of positive integer factors of 5704 that divides 5704 without a remainder.

1, 2, 4, 8, 23, 31, 46, 62, 92, 124, 184, 248, 713, 1426, 2852, 5704

Least Common Multiple of 5697 and 5704 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 5704, than apply into the LCM equation.

GCF(5697,5704) = 1
LCM(5697,5704) = ( 5697 × 5704) / 1
LCM(5697,5704) = 32495688 / 1
LCM(5697,5704) = 32495688

Properties of LCM 5697 and 5704

(i) The LCM of 5704 and 5697 is associative

LCM of 5697 and 5704 = LCM of 5704 and 5697

Related Least Common Multiples of 5697

Related Least Common Multiples of 5704

Frequently Asked Questions on LCM of 5697 and 5704

1. What is the LCM of 5697 and 5704?

Answer: LCM of 5697 and 5704 is 32495688.

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 5704?

Answer: Factors of 5704 are 1, 2, 4, 8, 23, 31, 46, 62, 92, 124, 184, 248, 713, 1426, 2852, 5704. There are 16 integers that are factors of 5704. The greatest factor of 5704 is 5704.

4. How to Find the LCM of 5697 and 5704?

Answer:

Least Common Multiple of 5697 and 5704 = 32495688

Step 1: Find the prime factorization of 5697

5697 = 3 x 3 x 3 x 211

Step 2: Find the prime factorization of 5704

5704 = 2 x 2 x 2 x 23 x 31

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

LCM = 32495688 = 2 x 2 x 2 x 3 x 3 x 3 x 23 x 31 x 211

Step 4: Therefore, the least common multiple of 5697 and 5704 is 32495688.