Least Common Multiple of 5674 and 5680

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 5680 the smallest integer that is 16114160 that is divisible by both numbers.

Least Common Multiple (LCM) of 5674 and 5680 is 16114160.

LCM(5674,5680) = 16114160

LCM of 5674 and 5680

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

LCM of:
and

Least Common Multiple of 5674 and 5680

LCM of 5674 and 5680 is 16114160

Least common multiple can be found by multiplying the highest exponent prime factors of 5674 and 5680. First we will calculate the prime factors of 5674 and 5680.

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 5680


2 5680
2 2840
2 1420
2 710
5 355
71 71
1

Prime factors of 5680 are 2, 5,71. Prime factorization of 5680 in exponential form is:

5680 = 24×51×711

Now multiplying the highest exponent prime factors to calculate the LCM of 5674 and 5680.

LCM(5674,5680) = 24×51×711×28371
LCM(5674,5680) = 16114160

Factors of 5674

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

1, 2, 2837, 5674

Factors of 5680

List of positive integer factors of 5680 that divides 5680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 71, 80, 142, 284, 355, 568, 710, 1136, 1420, 2840, 5680

Least Common Multiple of 5674 and 5680 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 5680, than apply into the LCM equation.

GCF(5674,5680) = 2
LCM(5674,5680) = ( 5674 × 5680) / 2
LCM(5674,5680) = 32228320 / 2
LCM(5674,5680) = 16114160

Properties of LCM 5674 and 5680

(i) The LCM of 5680 and 5674 is associative

LCM of 5674 and 5680 = LCM of 5680 and 5674

Related Least Common Multiples of 5674

Related Least Common Multiples of 5680

Frequently Asked Questions on LCM of 5674 and 5680

1. What is the LCM of 5674 and 5680?

Answer: LCM of 5674 and 5680 is 16114160.

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 5680?

Answer: Factors of 5680 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 71, 80, 142, 284, 355, 568, 710, 1136, 1420, 2840, 5680. There are 20 integers that are factors of 5680. The greatest factor of 5680 is 5680.

4. How to Find the LCM of 5674 and 5680?

Answer:

Least Common Multiple of 5674 and 5680 = 16114160

Step 1: Find the prime factorization of 5674

5674 = 2 x 2837

Step 2: Find the prime factorization of 5680

5680 = 2 x 2 x 2 x 2 x 5 x 71

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

LCM = 16114160 = 2 x 2 x 2 x 2 x 5 x 71 x 2837

Step 4: Therefore, the least common multiple of 5674 and 5680 is 16114160.