Least Common Multiple of 5695 and 5701

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 5701 the smallest integer that is 32467195 that is divisible by both numbers.

Least Common Multiple (LCM) of 5695 and 5701 is 32467195.

LCM(5695,5701) = 32467195

LCM of 5695 and 5701

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

LCM of:
and

Least Common Multiple of 5695 and 5701

LCM of 5695 and 5701 is 32467195

Least common multiple can be found by multiplying the highest exponent prime factors of 5695 and 5701. First we will calculate the prime factors of 5695 and 5701.

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 5701


5701 5701
1

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

5701 = 57011

Now multiplying the highest exponent prime factors to calculate the LCM of 5695 and 5701.

LCM(5695,5701) = 51×171×671×57011
LCM(5695,5701) = 32467195

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 5701

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

1, 5701

Least Common Multiple of 5695 and 5701 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 5701, than apply into the LCM equation.

GCF(5695,5701) = 1
LCM(5695,5701) = ( 5695 × 5701) / 1
LCM(5695,5701) = 32467195 / 1
LCM(5695,5701) = 32467195

Properties of LCM 5695 and 5701

(i) The LCM of 5701 and 5695 is associative

LCM of 5695 and 5701 = LCM of 5701 and 5695

Related Least Common Multiples of 5695

Related Least Common Multiples of 5701

Frequently Asked Questions on LCM of 5695 and 5701

1. What is the LCM of 5695 and 5701?

Answer: LCM of 5695 and 5701 is 32467195.

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 5701?

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

4. How to Find the LCM of 5695 and 5701?

Answer:

Least Common Multiple of 5695 and 5701 = 32467195

Step 1: Find the prime factorization of 5695

5695 = 5 x 17 x 67

Step 2: Find the prime factorization of 5701

5701 = 5701

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

LCM = 32467195 = 5 x 17 x 67 x 5701

Step 4: Therefore, the least common multiple of 5695 and 5701 is 32467195.