Least Common Multiple of 5699 and 5705

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 5705 the smallest integer that is 32512795 that is divisible by both numbers.

Least Common Multiple (LCM) of 5699 and 5705 is 32512795.

LCM(5699,5705) = 32512795

LCM of 5699 and 5705

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

LCM of:
and

Least Common Multiple of 5699 and 5705

LCM of 5699 and 5705 is 32512795

Least common multiple can be found by multiplying the highest exponent prime factors of 5699 and 5705. First we will calculate the prime factors of 5699 and 5705.

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 5705


5 5705
7 1141
163 163
1

Prime factors of 5705 are 5, 7,163. Prime factorization of 5705 in exponential form is:

5705 = 51×71×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 5699 and 5705.

LCM(5699,5705) = 51×71×411×1391×1631
LCM(5699,5705) = 32512795

Factors of 5699

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

1, 41, 139, 5699

Factors of 5705

List of positive integer factors of 5705 that divides 5705 without a remainder.

1, 5, 7, 35, 163, 815, 1141, 5705

Least Common Multiple of 5699 and 5705 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 5705, than apply into the LCM equation.

GCF(5699,5705) = 1
LCM(5699,5705) = ( 5699 × 5705) / 1
LCM(5699,5705) = 32512795 / 1
LCM(5699,5705) = 32512795

Properties of LCM 5699 and 5705

(i) The LCM of 5705 and 5699 is associative

LCM of 5699 and 5705 = LCM of 5705 and 5699

Related Least Common Multiples of 5699

Related Least Common Multiples of 5705

Frequently Asked Questions on LCM of 5699 and 5705

1. What is the LCM of 5699 and 5705?

Answer: LCM of 5699 and 5705 is 32512795.

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 5705?

Answer: Factors of 5705 are 1, 5, 7, 35, 163, 815, 1141, 5705. There are 8 integers that are factors of 5705. The greatest factor of 5705 is 5705.

4. How to Find the LCM of 5699 and 5705?

Answer:

Least Common Multiple of 5699 and 5705 = 32512795

Step 1: Find the prime factorization of 5699

5699 = 41 x 139

Step 2: Find the prime factorization of 5705

5705 = 5 x 7 x 163

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

LCM = 32512795 = 5 x 7 x 41 x 139 x 163

Step 4: Therefore, the least common multiple of 5699 and 5705 is 32512795.