Least Common Multiple of 5840 and 5845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5840 and 5845 the smallest integer that is 6826960 that is divisible by both numbers.

Least Common Multiple (LCM) of 5840 and 5845 is 6826960.

LCM(5840,5845) = 6826960

LCM of 5840 and 5845

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

LCM of:
and

Least Common Multiple of 5840 and 5845

LCM of 5840 and 5845 is 6826960

Least common multiple can be found by multiplying the highest exponent prime factors of 5840 and 5845. First we will calculate the prime factors of 5840 and 5845.

Prime Factorization of 5840


2 5840
2 2920
2 1460
2 730
5 365
73 73
1

Prime factors of 5840 are 2, 5,73. Prime factorization of 5840 in exponential form is:

5840 = 24×51×731

Prime Factorization of 5845


5 5845
7 1169
167 167
1

Prime factors of 5845 are 5, 7,167. Prime factorization of 5845 in exponential form is:

5845 = 51×71×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 5840 and 5845.

LCM(5840,5845) = 24×51×71×731×1671
LCM(5840,5845) = 6826960

Factors of 5840

List of positive integer factors of 5840 that divides 5840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 73, 80, 146, 292, 365, 584, 730, 1168, 1460, 2920, 5840

Factors of 5845

List of positive integer factors of 5845 that divides 5845 without a remainder.

1, 5, 7, 35, 167, 835, 1169, 5845

Least Common Multiple of 5840 and 5845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5840 and 5845, than apply into the LCM equation.

GCF(5840,5845) = 5
LCM(5840,5845) = ( 5840 × 5845) / 5
LCM(5840,5845) = 34134800 / 5
LCM(5840,5845) = 6826960

Properties of LCM 5840 and 5845

(i) The LCM of 5845 and 5840 is associative

LCM of 5840 and 5845 = LCM of 5845 and 5840

Related Least Common Multiples of 5840

Related Least Common Multiples of 5845

Frequently Asked Questions on LCM of 5840 and 5845

1. What is the LCM of 5840 and 5845?

Answer: LCM of 5840 and 5845 is 6826960.

2. What are the Factors of 5840?

Answer: Factors of 5840 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 73, 80, 146, 292, 365, 584, 730, 1168, 1460, 2920, 5840. There are 20 integers that are factors of 5840. The greatest factor of 5840 is 5840.

3. What are the Factors of 5845?

Answer: Factors of 5845 are 1, 5, 7, 35, 167, 835, 1169, 5845. There are 8 integers that are factors of 5845. The greatest factor of 5845 is 5845.

4. How to Find the LCM of 5840 and 5845?

Answer:

Least Common Multiple of 5840 and 5845 = 6826960

Step 1: Find the prime factorization of 5840

5840 = 2 x 2 x 2 x 2 x 5 x 73

Step 2: Find the prime factorization of 5845

5845 = 5 x 7 x 167

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

LCM = 6826960 = 2 x 2 x 2 x 2 x 5 x 7 x 73 x 167

Step 4: Therefore, the least common multiple of 5840 and 5845 is 6826960.