Least Common Multiple of 5840 and 5847

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 5847 the smallest integer that is 34146480 that is divisible by both numbers.

Least Common Multiple (LCM) of 5840 and 5847 is 34146480.

LCM(5840,5847) = 34146480

LCM of 5840 and 5847

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

LCM of:
and

Least Common Multiple of 5840 and 5847

LCM of 5840 and 5847 is 34146480

Least common multiple can be found by multiplying the highest exponent prime factors of 5840 and 5847. First we will calculate the prime factors of 5840 and 5847.

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 5847


3 5847
1949 1949
1

Prime factors of 5847 are 3,1949. Prime factorization of 5847 in exponential form is:

5847 = 31×19491

Now multiplying the highest exponent prime factors to calculate the LCM of 5840 and 5847.

LCM(5840,5847) = 24×31×51×731×19491
LCM(5840,5847) = 34146480

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 5847

List of positive integer factors of 5847 that divides 5847 without a remainder.

1, 3, 1949, 5847

Least Common Multiple of 5840 and 5847 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 5847, than apply into the LCM equation.

GCF(5840,5847) = 1
LCM(5840,5847) = ( 5840 × 5847) / 1
LCM(5840,5847) = 34146480 / 1
LCM(5840,5847) = 34146480

Properties of LCM 5840 and 5847

(i) The LCM of 5847 and 5840 is associative

LCM of 5840 and 5847 = LCM of 5847 and 5840

Related Least Common Multiples of 5840

Related Least Common Multiples of 5847

Frequently Asked Questions on LCM of 5840 and 5847

1. What is the LCM of 5840 and 5847?

Answer: LCM of 5840 and 5847 is 34146480.

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 5847?

Answer: Factors of 5847 are 1, 3, 1949, 5847. There are 4 integers that are factors of 5847. The greatest factor of 5847 is 5847.

4. How to Find the LCM of 5840 and 5847?

Answer:

Least Common Multiple of 5840 and 5847 = 34146480

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 5847

5847 = 3 x 1949

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

LCM = 34146480 = 2 x 2 x 2 x 2 x 3 x 5 x 73 x 1949

Step 4: Therefore, the least common multiple of 5840 and 5847 is 34146480.