Least Common Multiple of 5677 and 5683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5677 and 5683 the smallest integer that is 32262391 that is divisible by both numbers.

Least Common Multiple (LCM) of 5677 and 5683 is 32262391.

LCM(5677,5683) = 32262391

LCM of 5677 and 5683

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

LCM of:
and

Least Common Multiple of 5677 and 5683

LCM of 5677 and 5683 is 32262391

Least common multiple can be found by multiplying the highest exponent prime factors of 5677 and 5683. First we will calculate the prime factors of 5677 and 5683.

Prime Factorization of 5677


7 5677
811 811
1

Prime factors of 5677 are 7,811. Prime factorization of 5677 in exponential form is:

5677 = 71×8111

Prime Factorization of 5683


5683 5683
1

Prime factors of 5683 are 5683. Prime factorization of 5683 in exponential form is:

5683 = 56831

Now multiplying the highest exponent prime factors to calculate the LCM of 5677 and 5683.

LCM(5677,5683) = 71×8111×56831
LCM(5677,5683) = 32262391

Factors of 5677

List of positive integer factors of 5677 that divides 5677 without a remainder.

1, 7, 811, 5677

Factors of 5683

List of positive integer factors of 5683 that divides 5683 without a remainder.

1, 5683

Least Common Multiple of 5677 and 5683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5677 and 5683, than apply into the LCM equation.

GCF(5677,5683) = 1
LCM(5677,5683) = ( 5677 × 5683) / 1
LCM(5677,5683) = 32262391 / 1
LCM(5677,5683) = 32262391

Properties of LCM 5677 and 5683

(i) The LCM of 5683 and 5677 is associative

LCM of 5677 and 5683 = LCM of 5683 and 5677

Related Least Common Multiples of 5677

Related Least Common Multiples of 5683

Frequently Asked Questions on LCM of 5677 and 5683

1. What is the LCM of 5677 and 5683?

Answer: LCM of 5677 and 5683 is 32262391.

2. What are the Factors of 5677?

Answer: Factors of 5677 are 1, 7, 811, 5677. There are 4 integers that are factors of 5677. The greatest factor of 5677 is 5677.

3. What are the Factors of 5683?

Answer: Factors of 5683 are 1, 5683. There are 2 integers that are factors of 5683. The greatest factor of 5683 is 5683.

4. How to Find the LCM of 5677 and 5683?

Answer:

Least Common Multiple of 5677 and 5683 = 32262391

Step 1: Find the prime factorization of 5677

5677 = 7 x 811

Step 2: Find the prime factorization of 5683

5683 = 5683

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

LCM = 32262391 = 7 x 811 x 5683

Step 4: Therefore, the least common multiple of 5677 and 5683 is 32262391.