Least Common Multiple of 850 and 858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 850 and 858 the smallest integer that is 364650 that is divisible by both numbers.

Least Common Multiple (LCM) of 850 and 858 is 364650.

LCM(850,858) = 364650

LCM of 850 and 858

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

LCM of:
and

Least Common Multiple of 850 and 858

LCM of 850 and 858 is 364650

Least common multiple can be found by multiplying the highest exponent prime factors of 850 and 858. First we will calculate the prime factors of 850 and 858.

Prime Factorization of 850


2 850
5 425
5 85
17 17
1

Prime factors of 850 are 2, 5,17. Prime factorization of 850 in exponential form is:

850 = 21×52×171

Prime Factorization of 858


2 858
3 429
11 143
13 13
1

Prime factors of 858 are 2, 3, 11,13. Prime factorization of 858 in exponential form is:

858 = 21×31×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 850 and 858.

LCM(850,858) = 21×31×52×111×131×171
LCM(850,858) = 364650

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Least Common Multiple of 850 and 858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 850 and 858, than apply into the LCM equation.

GCF(850,858) = 2
LCM(850,858) = ( 850 × 858) / 2
LCM(850,858) = 729300 / 2
LCM(850,858) = 364650

Properties of LCM 850 and 858

(i) The LCM of 858 and 850 is associative

LCM of 850 and 858 = LCM of 858 and 850

Related Least Common Multiples of 850

Related Least Common Multiples of 858

Frequently Asked Questions on LCM of 850 and 858

1. What is the LCM of 850 and 858?

Answer: LCM of 850 and 858 is 364650.

2. What are the Factors of 850?

Answer: Factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850. There are 12 integers that are factors of 850. The greatest factor of 850 is 850.

3. What are the Factors of 858?

Answer: Factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858. There are 16 integers that are factors of 858. The greatest factor of 858 is 858.

4. How to Find the LCM of 850 and 858?

Answer:

Least Common Multiple of 850 and 858 = 364650

Step 1: Find the prime factorization of 850

850 = 2 x 5 x 5 x 17

Step 2: Find the prime factorization of 858

858 = 2 x 3 x 11 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 = 364650 = 2 x 3 x 5 x 5 x 11 x 13 x 17

Step 4: Therefore, the least common multiple of 850 and 858 is 364650.