Least Common Multiple of 5673 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 5673 and 5680 the smallest integer that is 32222640 that is divisible by both numbers.

Least Common Multiple (LCM) of 5673 and 5680 is 32222640.

LCM(5673,5680) = 32222640

LCM of 5673 and 5680

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

LCM of:
and

Least Common Multiple of 5673 and 5680

LCM of 5673 and 5680 is 32222640

Least common multiple can be found by multiplying the highest exponent prime factors of 5673 and 5680. First we will calculate the prime factors of 5673 and 5680.

Prime Factorization of 5673


3 5673
31 1891
61 61
1

Prime factors of 5673 are 3, 31,61. Prime factorization of 5673 in exponential form is:

5673 = 31×311×611

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 5673 and 5680.

LCM(5673,5680) = 24×31×51×311×611×711
LCM(5673,5680) = 32222640

Factors of 5673

List of positive integer factors of 5673 that divides 5673 without a remainder.

1, 3, 31, 61, 93, 183, 1891, 5673

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 5673 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 5673 and 5680, than apply into the LCM equation.

GCF(5673,5680) = 1
LCM(5673,5680) = ( 5673 × 5680) / 1
LCM(5673,5680) = 32222640 / 1
LCM(5673,5680) = 32222640

Properties of LCM 5673 and 5680

(i) The LCM of 5680 and 5673 is associative

LCM of 5673 and 5680 = LCM of 5680 and 5673

Related Least Common Multiples of 5673

Related Least Common Multiples of 5680

Frequently Asked Questions on LCM of 5673 and 5680

1. What is the LCM of 5673 and 5680?

Answer: LCM of 5673 and 5680 is 32222640.

2. What are the Factors of 5673?

Answer: Factors of 5673 are 1, 3, 31, 61, 93, 183, 1891, 5673. There are 8 integers that are factors of 5673. The greatest factor of 5673 is 5673.

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 5673 and 5680?

Answer:

Least Common Multiple of 5673 and 5680 = 32222640

Step 1: Find the prime factorization of 5673

5673 = 3 x 31 x 61

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 = 32222640 = 2 x 2 x 2 x 2 x 3 x 5 x 31 x 61 x 71

Step 4: Therefore, the least common multiple of 5673 and 5680 is 32222640.