Least Common Multiple of 5668 and 5674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5668 and 5674 the smallest integer that is 16080116 that is divisible by both numbers.

Least Common Multiple (LCM) of 5668 and 5674 is 16080116.

LCM(5668,5674) = 16080116

LCM of 5668 and 5674

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

LCM of:
and

Least Common Multiple of 5668 and 5674

LCM of 5668 and 5674 is 16080116

Least common multiple can be found by multiplying the highest exponent prime factors of 5668 and 5674. First we will calculate the prime factors of 5668 and 5674.

Prime Factorization of 5668


2 5668
2 2834
13 1417
109 109
1

Prime factors of 5668 are 2, 13,109. Prime factorization of 5668 in exponential form is:

5668 = 22×131×1091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5668 and 5674.

LCM(5668,5674) = 22×131×1091×28371
LCM(5668,5674) = 16080116

Factors of 5668

List of positive integer factors of 5668 that divides 5668 without a remainder.

1, 2, 4, 13, 26, 52, 109, 218, 436, 1417, 2834, 5668

Factors of 5674

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

1, 2, 2837, 5674

Least Common Multiple of 5668 and 5674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5668 and 5674, than apply into the LCM equation.

GCF(5668,5674) = 2
LCM(5668,5674) = ( 5668 × 5674) / 2
LCM(5668,5674) = 32160232 / 2
LCM(5668,5674) = 16080116

Properties of LCM 5668 and 5674

(i) The LCM of 5674 and 5668 is associative

LCM of 5668 and 5674 = LCM of 5674 and 5668

Related Least Common Multiples of 5668

Related Least Common Multiples of 5674

Frequently Asked Questions on LCM of 5668 and 5674

1. What is the LCM of 5668 and 5674?

Answer: LCM of 5668 and 5674 is 16080116.

2. What are the Factors of 5668?

Answer: Factors of 5668 are 1, 2, 4, 13, 26, 52, 109, 218, 436, 1417, 2834, 5668. There are 12 integers that are factors of 5668. The greatest factor of 5668 is 5668.

3. 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.

4. How to Find the LCM of 5668 and 5674?

Answer:

Least Common Multiple of 5668 and 5674 = 16080116

Step 1: Find the prime factorization of 5668

5668 = 2 x 2 x 13 x 109

Step 2: Find the prime factorization of 5674

5674 = 2 x 2837

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

LCM = 16080116 = 2 x 2 x 13 x 109 x 2837

Step 4: Therefore, the least common multiple of 5668 and 5674 is 16080116.