Least Common Multiple of 5850 and 5858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5850 and 5858 the smallest integer that is 17134650 that is divisible by both numbers.

Least Common Multiple (LCM) of 5850 and 5858 is 17134650.

LCM(5850,5858) = 17134650

LCM of 5850 and 5858

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

LCM of:
and

Least Common Multiple of 5850 and 5858

LCM of 5850 and 5858 is 17134650

Least common multiple can be found by multiplying the highest exponent prime factors of 5850 and 5858. First we will calculate the prime factors of 5850 and 5858.

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

Prime Factorization of 5858


2 5858
29 2929
101 101
1

Prime factors of 5858 are 2, 29,101. Prime factorization of 5858 in exponential form is:

5858 = 21×291×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 5850 and 5858.

LCM(5850,5858) = 21×32×52×131×291×1011
LCM(5850,5858) = 17134650

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

Factors of 5858

List of positive integer factors of 5858 that divides 5858 without a remainder.

1, 2, 29, 58, 101, 202, 2929, 5858

Least Common Multiple of 5850 and 5858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5850 and 5858, than apply into the LCM equation.

GCF(5850,5858) = 2
LCM(5850,5858) = ( 5850 × 5858) / 2
LCM(5850,5858) = 34269300 / 2
LCM(5850,5858) = 17134650

Properties of LCM 5850 and 5858

(i) The LCM of 5858 and 5850 is associative

LCM of 5850 and 5858 = LCM of 5858 and 5850

Related Least Common Multiples of 5850

Related Least Common Multiples of 5858

Frequently Asked Questions on LCM of 5850 and 5858

1. What is the LCM of 5850 and 5858?

Answer: LCM of 5850 and 5858 is 17134650.

2. 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.

3. What are the Factors of 5858?

Answer: Factors of 5858 are 1, 2, 29, 58, 101, 202, 2929, 5858. There are 8 integers that are factors of 5858. The greatest factor of 5858 is 5858.

4. How to Find the LCM of 5850 and 5858?

Answer:

Least Common Multiple of 5850 and 5858 = 17134650

Step 1: Find the prime factorization of 5850

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

Step 2: Find the prime factorization of 5858

5858 = 2 x 29 x 101

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

LCM = 17134650 = 2 x 3 x 3 x 5 x 5 x 13 x 29 x 101

Step 4: Therefore, the least common multiple of 5850 and 5858 is 17134650.