Least Common Multiple of 5703 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 5703 and 5705 the smallest integer that is 32535615 that is divisible by both numbers.

Least Common Multiple (LCM) of 5703 and 5705 is 32535615.

LCM(5703,5705) = 32535615

LCM of 5703 and 5705

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

LCM of:
and

Least Common Multiple of 5703 and 5705

LCM of 5703 and 5705 is 32535615

Least common multiple can be found by multiplying the highest exponent prime factors of 5703 and 5705. First we will calculate the prime factors of 5703 and 5705.

Prime Factorization of 5703


3 5703
1901 1901
1

Prime factors of 5703 are 3,1901. Prime factorization of 5703 in exponential form is:

5703 = 31×19011

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 5703 and 5705.

LCM(5703,5705) = 31×51×71×1631×19011
LCM(5703,5705) = 32535615

Factors of 5703

List of positive integer factors of 5703 that divides 5703 without a remainder.

1, 3, 1901, 5703

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 5703 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 5703 and 5705, than apply into the LCM equation.

GCF(5703,5705) = 1
LCM(5703,5705) = ( 5703 × 5705) / 1
LCM(5703,5705) = 32535615 / 1
LCM(5703,5705) = 32535615

Properties of LCM 5703 and 5705

(i) The LCM of 5705 and 5703 is associative

LCM of 5703 and 5705 = LCM of 5705 and 5703

Related Least Common Multiples of 5703

Related Least Common Multiples of 5705

Frequently Asked Questions on LCM of 5703 and 5705

1. What is the LCM of 5703 and 5705?

Answer: LCM of 5703 and 5705 is 32535615.

2. What are the Factors of 5703?

Answer: Factors of 5703 are 1, 3, 1901, 5703. There are 4 integers that are factors of 5703. The greatest factor of 5703 is 5703.

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 5703 and 5705?

Answer:

Least Common Multiple of 5703 and 5705 = 32535615

Step 1: Find the prime factorization of 5703

5703 = 3 x 1901

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 = 32535615 = 3 x 5 x 7 x 163 x 1901

Step 4: Therefore, the least common multiple of 5703 and 5705 is 32535615.