Least Common Multiple of 5840 and 5844

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 5844 the smallest integer that is 8532240 that is divisible by both numbers.

Least Common Multiple (LCM) of 5840 and 5844 is 8532240.

LCM(5840,5844) = 8532240

LCM of 5840 and 5844

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

LCM of:
and

Least Common Multiple of 5840 and 5844

LCM of 5840 and 5844 is 8532240

Least common multiple can be found by multiplying the highest exponent prime factors of 5840 and 5844. First we will calculate the prime factors of 5840 and 5844.

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 5844


2 5844
2 2922
3 1461
487 487
1

Prime factors of 5844 are 2, 3,487. Prime factorization of 5844 in exponential form is:

5844 = 22×31×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 5840 and 5844.

LCM(5840,5844) = 24×31×51×731×4871
LCM(5840,5844) = 8532240

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 5844

List of positive integer factors of 5844 that divides 5844 without a remainder.

1, 2, 3, 4, 6, 12, 487, 974, 1461, 1948, 2922, 5844

Least Common Multiple of 5840 and 5844 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 5844, than apply into the LCM equation.

GCF(5840,5844) = 4
LCM(5840,5844) = ( 5840 × 5844) / 4
LCM(5840,5844) = 34128960 / 4
LCM(5840,5844) = 8532240

Properties of LCM 5840 and 5844

(i) The LCM of 5844 and 5840 is associative

LCM of 5840 and 5844 = LCM of 5844 and 5840

Related Least Common Multiples of 5840

Related Least Common Multiples of 5844

Frequently Asked Questions on LCM of 5840 and 5844

1. What is the LCM of 5840 and 5844?

Answer: LCM of 5840 and 5844 is 8532240.

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 5844?

Answer: Factors of 5844 are 1, 2, 3, 4, 6, 12, 487, 974, 1461, 1948, 2922, 5844. There are 12 integers that are factors of 5844. The greatest factor of 5844 is 5844.

4. How to Find the LCM of 5840 and 5844?

Answer:

Least Common Multiple of 5840 and 5844 = 8532240

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 5844

5844 = 2 x 2 x 3 x 487

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

LCM = 8532240 = 2 x 2 x 2 x 2 x 3 x 5 x 73 x 487

Step 4: Therefore, the least common multiple of 5840 and 5844 is 8532240.