Least Common Multiple of 5833 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 5833 and 5840 the smallest integer that is 34064720 that is divisible by both numbers.

Least Common Multiple (LCM) of 5833 and 5840 is 34064720.

LCM(5833,5840) = 34064720

LCM of 5833 and 5840

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

LCM of:
and

Least Common Multiple of 5833 and 5840

LCM of 5833 and 5840 is 34064720

Least common multiple can be found by multiplying the highest exponent prime factors of 5833 and 5840. First we will calculate the prime factors of 5833 and 5840.

Prime Factorization of 5833


19 5833
307 307
1

Prime factors of 5833 are 19,307. Prime factorization of 5833 in exponential form is:

5833 = 191×3071

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 5833 and 5840.

LCM(5833,5840) = 24×51×191×731×3071
LCM(5833,5840) = 34064720

Factors of 5833

List of positive integer factors of 5833 that divides 5833 without a remainder.

1, 19, 307, 5833

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 5833 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 5833 and 5840, than apply into the LCM equation.

GCF(5833,5840) = 1
LCM(5833,5840) = ( 5833 × 5840) / 1
LCM(5833,5840) = 34064720 / 1
LCM(5833,5840) = 34064720

Properties of LCM 5833 and 5840

(i) The LCM of 5840 and 5833 is associative

LCM of 5833 and 5840 = LCM of 5840 and 5833

Related Least Common Multiples of 5833

Related Least Common Multiples of 5840

Frequently Asked Questions on LCM of 5833 and 5840

1. What is the LCM of 5833 and 5840?

Answer: LCM of 5833 and 5840 is 34064720.

2. What are the Factors of 5833?

Answer: Factors of 5833 are 1, 19, 307, 5833. There are 4 integers that are factors of 5833. The greatest factor of 5833 is 5833.

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 5833 and 5840?

Answer:

Least Common Multiple of 5833 and 5840 = 34064720

Step 1: Find the prime factorization of 5833

5833 = 19 x 307

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 = 34064720 = 2 x 2 x 2 x 2 x 5 x 19 x 73 x 307

Step 4: Therefore, the least common multiple of 5833 and 5840 is 34064720.