Least Common Multiple of 5845 and 5850

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 5850 the smallest integer that is 6838650 that is divisible by both numbers.

Least Common Multiple (LCM) of 5845 and 5850 is 6838650.

LCM(5845,5850) = 6838650

LCM of 5845 and 5850

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

LCM of:
and

Least Common Multiple of 5845 and 5850

LCM of 5845 and 5850 is 6838650

Least common multiple can be found by multiplying the highest exponent prime factors of 5845 and 5850. First we will calculate the prime factors of 5845 and 5850.

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 5850


2 5850
3 2925
3 975
5 325
5 65
13 13
1

Prime factors of 5850 are 2, 3, 5,13. Prime factorization of 5850 in exponential form is:

5850 = 21×32×52×131

Now multiplying the highest exponent prime factors to calculate the LCM of 5845 and 5850.

LCM(5845,5850) = 21×32×52×71×131×1671
LCM(5845,5850) = 6838650

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 5850

List of positive integer factors of 5850 that divides 5850 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 30, 39, 45, 50, 65, 75, 78, 90, 117, 130, 150, 195, 225, 234, 325, 390, 450, 585, 650, 975, 1170, 1950, 2925, 5850

Least Common Multiple of 5845 and 5850 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 5850, than apply into the LCM equation.

GCF(5845,5850) = 5
LCM(5845,5850) = ( 5845 × 5850) / 5
LCM(5845,5850) = 34193250 / 5
LCM(5845,5850) = 6838650

Properties of LCM 5845 and 5850

(i) The LCM of 5850 and 5845 is associative

LCM of 5845 and 5850 = LCM of 5850 and 5845

Related Least Common Multiples of 5845

Related Least Common Multiples of 5850

Frequently Asked Questions on LCM of 5845 and 5850

1. What is the LCM of 5845 and 5850?

Answer: LCM of 5845 and 5850 is 6838650.

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 5850?

Answer: Factors of 5850 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 30, 39, 45, 50, 65, 75, 78, 90, 117, 130, 150, 195, 225, 234, 325, 390, 450, 585, 650, 975, 1170, 1950, 2925, 5850. There are 36 integers that are factors of 5850. The greatest factor of 5850 is 5850.

4. How to Find the LCM of 5845 and 5850?

Answer:

Least Common Multiple of 5845 and 5850 = 6838650

Step 1: Find the prime factorization of 5845

5845 = 5 x 7 x 167

Step 2: Find the prime factorization of 5850

5850 = 2 x 3 x 3 x 5 x 5 x 13

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

LCM = 6838650 = 2 x 3 x 3 x 5 x 5 x 7 x 13 x 167

Step 4: Therefore, the least common multiple of 5845 and 5850 is 6838650.