Least Common Multiple of 5701 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 5701 and 5705 the smallest integer that is 32524205 that is divisible by both numbers.

Least Common Multiple (LCM) of 5701 and 5705 is 32524205.

LCM(5701,5705) = 32524205

LCM of 5701 and 5705

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

LCM of:
and

Least Common Multiple of 5701 and 5705

LCM of 5701 and 5705 is 32524205

Least common multiple can be found by multiplying the highest exponent prime factors of 5701 and 5705. First we will calculate the prime factors of 5701 and 5705.

Prime Factorization of 5701


5701 5701
1

Prime factors of 5701 are 5701. Prime factorization of 5701 in exponential form is:

5701 = 57011

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 5701 and 5705.

LCM(5701,5705) = 51×71×1631×57011
LCM(5701,5705) = 32524205

Factors of 5701

List of positive integer factors of 5701 that divides 5701 without a remainder.

1, 5701

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 5701 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 5701 and 5705, than apply into the LCM equation.

GCF(5701,5705) = 1
LCM(5701,5705) = ( 5701 × 5705) / 1
LCM(5701,5705) = 32524205 / 1
LCM(5701,5705) = 32524205

Properties of LCM 5701 and 5705

(i) The LCM of 5705 and 5701 is associative

LCM of 5701 and 5705 = LCM of 5705 and 5701

Related Least Common Multiples of 5701

Related Least Common Multiples of 5705

Frequently Asked Questions on LCM of 5701 and 5705

1. What is the LCM of 5701 and 5705?

Answer: LCM of 5701 and 5705 is 32524205.

2. What are the Factors of 5701?

Answer: Factors of 5701 are 1, 5701. There are 2 integers that are factors of 5701. The greatest factor of 5701 is 5701.

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 5701 and 5705?

Answer:

Least Common Multiple of 5701 and 5705 = 32524205

Step 1: Find the prime factorization of 5701

5701 = 5701

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 = 32524205 = 5 x 7 x 163 x 5701

Step 4: Therefore, the least common multiple of 5701 and 5705 is 32524205.