Least Common Multiple of 5696 and 5697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5696 and 5697 the smallest integer that is 32450112 that is divisible by both numbers.

Least Common Multiple (LCM) of 5696 and 5697 is 32450112.

LCM(5696,5697) = 32450112

LCM of 5696 and 5697

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

LCM of:
and

Least Common Multiple of 5696 and 5697

LCM of 5696 and 5697 is 32450112

Least common multiple can be found by multiplying the highest exponent prime factors of 5696 and 5697. First we will calculate the prime factors of 5696 and 5697.

Prime Factorization of 5696


2 5696
2 2848
2 1424
2 712
2 356
2 178
89 89
1

Prime factors of 5696 are 2,89. Prime factorization of 5696 in exponential form is:

5696 = 26×891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5696 and 5697.

LCM(5696,5697) = 26×33×891×2111
LCM(5696,5697) = 32450112

Factors of 5696

List of positive integer factors of 5696 that divides 5696 without a remainder.

1, 2, 4, 8, 16, 32, 64, 89, 178, 356, 712, 1424, 2848, 5696

Factors of 5697

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

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

Least Common Multiple of 5696 and 5697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5696 and 5697, than apply into the LCM equation.

GCF(5696,5697) = 1
LCM(5696,5697) = ( 5696 × 5697) / 1
LCM(5696,5697) = 32450112 / 1
LCM(5696,5697) = 32450112

Properties of LCM 5696 and 5697

(i) The LCM of 5697 and 5696 is associative

LCM of 5696 and 5697 = LCM of 5697 and 5696

Related Least Common Multiples of 5696

Related Least Common Multiples of 5697

Frequently Asked Questions on LCM of 5696 and 5697

1. What is the LCM of 5696 and 5697?

Answer: LCM of 5696 and 5697 is 32450112.

2. What are the Factors of 5696?

Answer: Factors of 5696 are 1, 2, 4, 8, 16, 32, 64, 89, 178, 356, 712, 1424, 2848, 5696. There are 14 integers that are factors of 5696. The greatest factor of 5696 is 5696.

3. 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.

4. How to Find the LCM of 5696 and 5697?

Answer:

Least Common Multiple of 5696 and 5697 = 32450112

Step 1: Find the prime factorization of 5696

5696 = 2 x 2 x 2 x 2 x 2 x 2 x 89

Step 2: Find the prime factorization of 5697

5697 = 3 x 3 x 3 x 211

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

LCM = 32450112 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 89 x 211

Step 4: Therefore, the least common multiple of 5696 and 5697 is 32450112.