Least Common Multiple of 5845 and 5853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5845 and 5853 the smallest integer that is 34210785 that is divisible by both numbers.

Least Common Multiple (LCM) of 5845 and 5853 is 34210785.

LCM(5845,5853) = 34210785

LCM of 5845 and 5853

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

LCM of:
and

Least Common Multiple of 5845 and 5853

LCM of 5845 and 5853 is 34210785

Least common multiple can be found by multiplying the highest exponent prime factors of 5845 and 5853. First we will calculate the prime factors of 5845 and 5853.

Prime Factorization of 5845


5 5845
7 1169
167 167
1

Prime factors of 5845 are 5, 7,167. Prime factorization of 5845 in exponential form is:

5845 = 51×71×1671

Prime Factorization of 5853


3 5853
1951 1951
1

Prime factors of 5853 are 3,1951. Prime factorization of 5853 in exponential form is:

5853 = 31×19511

Now multiplying the highest exponent prime factors to calculate the LCM of 5845 and 5853.

LCM(5845,5853) = 31×51×71×1671×19511
LCM(5845,5853) = 34210785

Factors of 5845

List of positive integer factors of 5845 that divides 5845 without a remainder.

1, 5, 7, 35, 167, 835, 1169, 5845

Factors of 5853

List of positive integer factors of 5853 that divides 5853 without a remainder.

1, 3, 1951, 5853

Least Common Multiple of 5845 and 5853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5845 and 5853, than apply into the LCM equation.

GCF(5845,5853) = 1
LCM(5845,5853) = ( 5845 × 5853) / 1
LCM(5845,5853) = 34210785 / 1
LCM(5845,5853) = 34210785

Properties of LCM 5845 and 5853

(i) The LCM of 5853 and 5845 is associative

LCM of 5845 and 5853 = LCM of 5853 and 5845

Related Least Common Multiples of 5845

Related Least Common Multiples of 5853

Frequently Asked Questions on LCM of 5845 and 5853

1. What is the LCM of 5845 and 5853?

Answer: LCM of 5845 and 5853 is 34210785.

2. What are the Factors of 5845?

Answer: Factors of 5845 are 1, 5, 7, 35, 167, 835, 1169, 5845. There are 8 integers that are factors of 5845. The greatest factor of 5845 is 5845.

3. What are the Factors of 5853?

Answer: Factors of 5853 are 1, 3, 1951, 5853. There are 4 integers that are factors of 5853. The greatest factor of 5853 is 5853.

4. How to Find the LCM of 5845 and 5853?

Answer:

Least Common Multiple of 5845 and 5853 = 34210785

Step 1: Find the prime factorization of 5845

5845 = 5 x 7 x 167

Step 2: Find the prime factorization of 5853

5853 = 3 x 1951

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

LCM = 34210785 = 3 x 5 x 7 x 167 x 1951

Step 4: Therefore, the least common multiple of 5845 and 5853 is 34210785.