Least Common Multiple of 5835 and 5840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5835 and 5840 the smallest integer that is 6815280 that is divisible by both numbers.

Least Common Multiple (LCM) of 5835 and 5840 is 6815280.

LCM(5835,5840) = 6815280

LCM of 5835 and 5840

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

LCM of:
and

Least Common Multiple of 5835 and 5840

LCM of 5835 and 5840 is 6815280

Least common multiple can be found by multiplying the highest exponent prime factors of 5835 and 5840. First we will calculate the prime factors of 5835 and 5840.

Prime Factorization of 5835


3 5835
5 1945
389 389
1

Prime factors of 5835 are 3, 5,389. Prime factorization of 5835 in exponential form is:

5835 = 31×51×3891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5835 and 5840.

LCM(5835,5840) = 24×31×51×731×3891
LCM(5835,5840) = 6815280

Factors of 5835

List of positive integer factors of 5835 that divides 5835 without a remainder.

1, 3, 5, 15, 389, 1167, 1945, 5835

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

Least Common Multiple of 5835 and 5840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5835 and 5840, than apply into the LCM equation.

GCF(5835,5840) = 5
LCM(5835,5840) = ( 5835 × 5840) / 5
LCM(5835,5840) = 34076400 / 5
LCM(5835,5840) = 6815280

Properties of LCM 5835 and 5840

(i) The LCM of 5840 and 5835 is associative

LCM of 5835 and 5840 = LCM of 5840 and 5835

Related Least Common Multiples of 5835

Related Least Common Multiples of 5840

Frequently Asked Questions on LCM of 5835 and 5840

1. What is the LCM of 5835 and 5840?

Answer: LCM of 5835 and 5840 is 6815280.

2. What are the Factors of 5835?

Answer: Factors of 5835 are 1, 3, 5, 15, 389, 1167, 1945, 5835. There are 8 integers that are factors of 5835. The greatest factor of 5835 is 5835.

3. 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.

4. How to Find the LCM of 5835 and 5840?

Answer:

Least Common Multiple of 5835 and 5840 = 6815280

Step 1: Find the prime factorization of 5835

5835 = 3 x 5 x 389

Step 2: Find the prime factorization of 5840

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

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

LCM = 6815280 = 2 x 2 x 2 x 2 x 3 x 5 x 73 x 389

Step 4: Therefore, the least common multiple of 5835 and 5840 is 6815280.