Least Common Multiple of 5695 and 5703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5695 and 5703 the smallest integer that is 32478585 that is divisible by both numbers.

Least Common Multiple (LCM) of 5695 and 5703 is 32478585.

LCM(5695,5703) = 32478585

LCM of 5695 and 5703

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

LCM of:
and

Least Common Multiple of 5695 and 5703

LCM of 5695 and 5703 is 32478585

Least common multiple can be found by multiplying the highest exponent prime factors of 5695 and 5703. First we will calculate the prime factors of 5695 and 5703.

Prime Factorization of 5695


5 5695
17 1139
67 67
1

Prime factors of 5695 are 5, 17,67. Prime factorization of 5695 in exponential form is:

5695 = 51×171×671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5695 and 5703.

LCM(5695,5703) = 31×51×171×671×19011
LCM(5695,5703) = 32478585

Factors of 5695

List of positive integer factors of 5695 that divides 5695 without a remainder.

1, 5, 17, 67, 85, 335, 1139, 5695

Factors of 5703

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

1, 3, 1901, 5703

Least Common Multiple of 5695 and 5703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5695 and 5703, than apply into the LCM equation.

GCF(5695,5703) = 1
LCM(5695,5703) = ( 5695 × 5703) / 1
LCM(5695,5703) = 32478585 / 1
LCM(5695,5703) = 32478585

Properties of LCM 5695 and 5703

(i) The LCM of 5703 and 5695 is associative

LCM of 5695 and 5703 = LCM of 5703 and 5695

Related Least Common Multiples of 5695

Related Least Common Multiples of 5703

Frequently Asked Questions on LCM of 5695 and 5703

1. What is the LCM of 5695 and 5703?

Answer: LCM of 5695 and 5703 is 32478585.

2. What are the Factors of 5695?

Answer: Factors of 5695 are 1, 5, 17, 67, 85, 335, 1139, 5695. There are 8 integers that are factors of 5695. The greatest factor of 5695 is 5695.

3. 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.

4. How to Find the LCM of 5695 and 5703?

Answer:

Least Common Multiple of 5695 and 5703 = 32478585

Step 1: Find the prime factorization of 5695

5695 = 5 x 17 x 67

Step 2: Find the prime factorization of 5703

5703 = 3 x 1901

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

LCM = 32478585 = 3 x 5 x 17 x 67 x 1901

Step 4: Therefore, the least common multiple of 5695 and 5703 is 32478585.