Least Common Multiple of 5846 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 5846 and 5850 the smallest integer that is 17099550 that is divisible by both numbers.

Least Common Multiple (LCM) of 5846 and 5850 is 17099550.

LCM(5846,5850) = 17099550

LCM of 5846 and 5850

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

LCM of:
and

Least Common Multiple of 5846 and 5850

LCM of 5846 and 5850 is 17099550

Least common multiple can be found by multiplying the highest exponent prime factors of 5846 and 5850. First we will calculate the prime factors of 5846 and 5850.

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 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 5846 and 5850.

LCM(5846,5850) = 21×32×52×131×371×791
LCM(5846,5850) = 17099550

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 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 5846 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 5846 and 5850, than apply into the LCM equation.

GCF(5846,5850) = 2
LCM(5846,5850) = ( 5846 × 5850) / 2
LCM(5846,5850) = 34199100 / 2
LCM(5846,5850) = 17099550

Properties of LCM 5846 and 5850

(i) The LCM of 5850 and 5846 is associative

LCM of 5846 and 5850 = LCM of 5850 and 5846

Related Least Common Multiples of 5846

Related Least Common Multiples of 5850

Frequently Asked Questions on LCM of 5846 and 5850

1. What is the LCM of 5846 and 5850?

Answer: LCM of 5846 and 5850 is 17099550.

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 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 5846 and 5850?

Answer:

Least Common Multiple of 5846 and 5850 = 17099550

Step 1: Find the prime factorization of 5846

5846 = 2 x 37 x 79

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 = 17099550 = 2 x 3 x 3 x 5 x 5 x 13 x 37 x 79

Step 4: Therefore, the least common multiple of 5846 and 5850 is 17099550.