Least Common Multiple of 5699 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 5699 and 5704 the smallest integer that is 32507096 that is divisible by both numbers.

Least Common Multiple (LCM) of 5699 and 5704 is 32507096.

LCM(5699,5704) = 32507096

LCM of 5699 and 5704

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

LCM of:
and

Least Common Multiple of 5699 and 5704

LCM of 5699 and 5704 is 32507096

Least common multiple can be found by multiplying the highest exponent prime factors of 5699 and 5704. First we will calculate the prime factors of 5699 and 5704.

Prime Factorization of 5699


41 5699
139 139
1

Prime factors of 5699 are 41,139. Prime factorization of 5699 in exponential form is:

5699 = 411×1391

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 5699 and 5704.

LCM(5699,5704) = 23×231×311×411×1391
LCM(5699,5704) = 32507096

Factors of 5699

List of positive integer factors of 5699 that divides 5699 without a remainder.

1, 41, 139, 5699

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 5699 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 5699 and 5704, than apply into the LCM equation.

GCF(5699,5704) = 1
LCM(5699,5704) = ( 5699 × 5704) / 1
LCM(5699,5704) = 32507096 / 1
LCM(5699,5704) = 32507096

Properties of LCM 5699 and 5704

(i) The LCM of 5704 and 5699 is associative

LCM of 5699 and 5704 = LCM of 5704 and 5699

Related Least Common Multiples of 5699

Related Least Common Multiples of 5704

Frequently Asked Questions on LCM of 5699 and 5704

1. What is the LCM of 5699 and 5704?

Answer: LCM of 5699 and 5704 is 32507096.

2. What are the Factors of 5699?

Answer: Factors of 5699 are 1, 41, 139, 5699. There are 4 integers that are factors of 5699. The greatest factor of 5699 is 5699.

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 5699 and 5704?

Answer:

Least Common Multiple of 5699 and 5704 = 32507096

Step 1: Find the prime factorization of 5699

5699 = 41 x 139

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 = 32507096 = 2 x 2 x 2 x 23 x 31 x 41 x 139

Step 4: Therefore, the least common multiple of 5699 and 5704 is 32507096.