Least Common Multiple of 5699 and 5706

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 5706 the smallest integer that is 32518494 that is divisible by both numbers.

Least Common Multiple (LCM) of 5699 and 5706 is 32518494.

LCM(5699,5706) = 32518494

LCM of 5699 and 5706

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

LCM of:
and

Least Common Multiple of 5699 and 5706

LCM of 5699 and 5706 is 32518494

Least common multiple can be found by multiplying the highest exponent prime factors of 5699 and 5706. First we will calculate the prime factors of 5699 and 5706.

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 5706


2 5706
3 2853
3 951
317 317
1

Prime factors of 5706 are 2, 3,317. Prime factorization of 5706 in exponential form is:

5706 = 21×32×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 5699 and 5706.

LCM(5699,5706) = 21×32×411×1391×3171
LCM(5699,5706) = 32518494

Factors of 5699

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

1, 41, 139, 5699

Factors of 5706

List of positive integer factors of 5706 that divides 5706 without a remainder.

1, 2, 3, 6, 9, 18, 317, 634, 951, 1902, 2853, 5706

Least Common Multiple of 5699 and 5706 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 5706, than apply into the LCM equation.

GCF(5699,5706) = 1
LCM(5699,5706) = ( 5699 × 5706) / 1
LCM(5699,5706) = 32518494 / 1
LCM(5699,5706) = 32518494

Properties of LCM 5699 and 5706

(i) The LCM of 5706 and 5699 is associative

LCM of 5699 and 5706 = LCM of 5706 and 5699

Related Least Common Multiples of 5699

Related Least Common Multiples of 5706

Frequently Asked Questions on LCM of 5699 and 5706

1. What is the LCM of 5699 and 5706?

Answer: LCM of 5699 and 5706 is 32518494.

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 5706?

Answer: Factors of 5706 are 1, 2, 3, 6, 9, 18, 317, 634, 951, 1902, 2853, 5706. There are 12 integers that are factors of 5706. The greatest factor of 5706 is 5706.

4. How to Find the LCM of 5699 and 5706?

Answer:

Least Common Multiple of 5699 and 5706 = 32518494

Step 1: Find the prime factorization of 5699

5699 = 41 x 139

Step 2: Find the prime factorization of 5706

5706 = 2 x 3 x 3 x 317

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

LCM = 32518494 = 2 x 3 x 3 x 41 x 139 x 317

Step 4: Therefore, the least common multiple of 5699 and 5706 is 32518494.