Least Common Multiple of 5846 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 5846 and 5847 the smallest integer that is 34181562 that is divisible by both numbers.

Least Common Multiple (LCM) of 5846 and 5847 is 34181562.

LCM(5846,5847) = 34181562

LCM of 5846 and 5847

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

LCM of:
and

Least Common Multiple of 5846 and 5847

LCM of 5846 and 5847 is 34181562

Least common multiple can be found by multiplying the highest exponent prime factors of 5846 and 5847. First we will calculate the prime factors of 5846 and 5847.

Prime Factorization of 5846


2 5846
37 2923
79 79
1

Prime factors of 5846 are 2, 37,79. Prime factorization of 5846 in exponential form is:

5846 = 21×371×791

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 5846 and 5847.

LCM(5846,5847) = 21×31×371×791×19491
LCM(5846,5847) = 34181562

Factors of 5846

List of positive integer factors of 5846 that divides 5846 without a remainder.

1, 2, 37, 74, 79, 158, 2923, 5846

Factors of 5847

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

1, 3, 1949, 5847

Least Common Multiple of 5846 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 5846 and 5847, than apply into the LCM equation.

GCF(5846,5847) = 1
LCM(5846,5847) = ( 5846 × 5847) / 1
LCM(5846,5847) = 34181562 / 1
LCM(5846,5847) = 34181562

Properties of LCM 5846 and 5847

(i) The LCM of 5847 and 5846 is associative

LCM of 5846 and 5847 = LCM of 5847 and 5846

Related Least Common Multiples of 5846

Related Least Common Multiples of 5847

Frequently Asked Questions on LCM of 5846 and 5847

1. What is the LCM of 5846 and 5847?

Answer: LCM of 5846 and 5847 is 34181562.

2. What are the Factors of 5846?

Answer: Factors of 5846 are 1, 2, 37, 74, 79, 158, 2923, 5846. There are 8 integers that are factors of 5846. The greatest factor of 5846 is 5846.

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 5846 and 5847?

Answer:

Least Common Multiple of 5846 and 5847 = 34181562

Step 1: Find the prime factorization of 5846

5846 = 2 x 37 x 79

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 = 34181562 = 2 x 3 x 37 x 79 x 1949

Step 4: Therefore, the least common multiple of 5846 and 5847 is 34181562.