Least Common Multiple of 5674 and 5682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5674 and 5682 the smallest integer that is 16119834 that is divisible by both numbers.

Least Common Multiple (LCM) of 5674 and 5682 is 16119834.

LCM(5674,5682) = 16119834

LCM of 5674 and 5682

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

LCM of:
and

Least Common Multiple of 5674 and 5682

LCM of 5674 and 5682 is 16119834

Least common multiple can be found by multiplying the highest exponent prime factors of 5674 and 5682. First we will calculate the prime factors of 5674 and 5682.

Prime Factorization of 5674


2 5674
2837 2837
1

Prime factors of 5674 are 2,2837. Prime factorization of 5674 in exponential form is:

5674 = 21×28371

Prime Factorization of 5682


2 5682
3 2841
947 947
1

Prime factors of 5682 are 2, 3,947. Prime factorization of 5682 in exponential form is:

5682 = 21×31×9471

Now multiplying the highest exponent prime factors to calculate the LCM of 5674 and 5682.

LCM(5674,5682) = 21×31×9471×28371
LCM(5674,5682) = 16119834

Factors of 5674

List of positive integer factors of 5674 that divides 5674 without a remainder.

1, 2, 2837, 5674

Factors of 5682

List of positive integer factors of 5682 that divides 5682 without a remainder.

1, 2, 3, 6, 947, 1894, 2841, 5682

Least Common Multiple of 5674 and 5682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5674 and 5682, than apply into the LCM equation.

GCF(5674,5682) = 2
LCM(5674,5682) = ( 5674 × 5682) / 2
LCM(5674,5682) = 32239668 / 2
LCM(5674,5682) = 16119834

Properties of LCM 5674 and 5682

(i) The LCM of 5682 and 5674 is associative

LCM of 5674 and 5682 = LCM of 5682 and 5674

Related Least Common Multiples of 5674

Related Least Common Multiples of 5682

Frequently Asked Questions on LCM of 5674 and 5682

1. What is the LCM of 5674 and 5682?

Answer: LCM of 5674 and 5682 is 16119834.

2. What are the Factors of 5674?

Answer: Factors of 5674 are 1, 2, 2837, 5674. There are 4 integers that are factors of 5674. The greatest factor of 5674 is 5674.

3. What are the Factors of 5682?

Answer: Factors of 5682 are 1, 2, 3, 6, 947, 1894, 2841, 5682. There are 8 integers that are factors of 5682. The greatest factor of 5682 is 5682.

4. How to Find the LCM of 5674 and 5682?

Answer:

Least Common Multiple of 5674 and 5682 = 16119834

Step 1: Find the prime factorization of 5674

5674 = 2 x 2837

Step 2: Find the prime factorization of 5682

5682 = 2 x 3 x 947

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

LCM = 16119834 = 2 x 3 x 947 x 2837

Step 4: Therefore, the least common multiple of 5674 and 5682 is 16119834.