Least Common Multiple of 5696 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 5696 and 5704 the smallest integer that is 4061248 that is divisible by both numbers.

Least Common Multiple (LCM) of 5696 and 5704 is 4061248.

LCM(5696,5704) = 4061248

LCM of 5696 and 5704

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

LCM of:
and

Least Common Multiple of 5696 and 5704

LCM of 5696 and 5704 is 4061248

Least common multiple can be found by multiplying the highest exponent prime factors of 5696 and 5704. First we will calculate the prime factors of 5696 and 5704.

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 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 5696 and 5704.

LCM(5696,5704) = 26×231×311×891
LCM(5696,5704) = 4061248

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 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 5696 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 5696 and 5704, than apply into the LCM equation.

GCF(5696,5704) = 8
LCM(5696,5704) = ( 5696 × 5704) / 8
LCM(5696,5704) = 32489984 / 8
LCM(5696,5704) = 4061248

Properties of LCM 5696 and 5704

(i) The LCM of 5704 and 5696 is associative

LCM of 5696 and 5704 = LCM of 5704 and 5696

Related Least Common Multiples of 5696

Related Least Common Multiples of 5704

Frequently Asked Questions on LCM of 5696 and 5704

1. What is the LCM of 5696 and 5704?

Answer: LCM of 5696 and 5704 is 4061248.

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 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 5696 and 5704?

Answer:

Least Common Multiple of 5696 and 5704 = 4061248

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 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 = 4061248 = 2 x 2 x 2 x 2 x 2 x 2 x 23 x 31 x 89

Step 4: Therefore, the least common multiple of 5696 and 5704 is 4061248.