Least Common Multiple of 5675 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 5675 and 5680 the smallest integer that is 6446800 that is divisible by both numbers.

Least Common Multiple (LCM) of 5675 and 5680 is 6446800.

LCM(5675,5680) = 6446800

LCM of 5675 and 5680

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

LCM of:
and

Least Common Multiple of 5675 and 5680

LCM of 5675 and 5680 is 6446800

Least common multiple can be found by multiplying the highest exponent prime factors of 5675 and 5680. First we will calculate the prime factors of 5675 and 5680.

Prime Factorization of 5675


5 5675
5 1135
227 227
1

Prime factors of 5675 are 5,227. Prime factorization of 5675 in exponential form is:

5675 = 52×2271

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 5675 and 5680.

LCM(5675,5680) = 24×52×711×2271
LCM(5675,5680) = 6446800

Factors of 5675

List of positive integer factors of 5675 that divides 5675 without a remainder.

1, 5, 25, 227, 1135, 5675

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 5675 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 5675 and 5680, than apply into the LCM equation.

GCF(5675,5680) = 5
LCM(5675,5680) = ( 5675 × 5680) / 5
LCM(5675,5680) = 32234000 / 5
LCM(5675,5680) = 6446800

Properties of LCM 5675 and 5680

(i) The LCM of 5680 and 5675 is associative

LCM of 5675 and 5680 = LCM of 5680 and 5675

Related Least Common Multiples of 5675

Related Least Common Multiples of 5680

Frequently Asked Questions on LCM of 5675 and 5680

1. What is the LCM of 5675 and 5680?

Answer: LCM of 5675 and 5680 is 6446800.

2. What are the Factors of 5675?

Answer: Factors of 5675 are 1, 5, 25, 227, 1135, 5675. There are 6 integers that are factors of 5675. The greatest factor of 5675 is 5675.

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 5675 and 5680?

Answer:

Least Common Multiple of 5675 and 5680 = 6446800

Step 1: Find the prime factorization of 5675

5675 = 5 x 5 x 227

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 = 6446800 = 2 x 2 x 2 x 2 x 5 x 5 x 71 x 227

Step 4: Therefore, the least common multiple of 5675 and 5680 is 6446800.