Least Common Multiple of 854 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 854 and 858 the smallest integer that is 366366 that is divisible by both numbers.

Least Common Multiple (LCM) of 854 and 858 is 366366.

LCM(854,858) = 366366

LCM of 854 and 858

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

LCM of:
and

Least Common Multiple of 854 and 858

LCM of 854 and 858 is 366366

Least common multiple can be found by multiplying the highest exponent prime factors of 854 and 858. First we will calculate the prime factors of 854 and 858.

Prime Factorization of 854


2 854
7 427
61 61
1

Prime factors of 854 are 2, 7,61. Prime factorization of 854 in exponential form is:

854 = 21×71×611

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 854 and 858.

LCM(854,858) = 21×31×71×111×131×611
LCM(854,858) = 366366

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

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 854 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 854 and 858, than apply into the LCM equation.

GCF(854,858) = 2
LCM(854,858) = ( 854 × 858) / 2
LCM(854,858) = 732732 / 2
LCM(854,858) = 366366

Properties of LCM 854 and 858

(i) The LCM of 858 and 854 is associative

LCM of 854 and 858 = LCM of 858 and 854

Related Least Common Multiples of 854

Related Least Common Multiples of 858

Frequently Asked Questions on LCM of 854 and 858

1. What is the LCM of 854 and 858?

Answer: LCM of 854 and 858 is 366366.

2. What are the Factors of 854?

Answer: Factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854. There are 8 integers that are factors of 854. The greatest factor of 854 is 854.

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 854 and 858?

Answer:

Least Common Multiple of 854 and 858 = 366366

Step 1: Find the prime factorization of 854

854 = 2 x 7 x 61

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 = 366366 = 2 x 3 x 7 x 11 x 13 x 61

Step 4: Therefore, the least common multiple of 854 and 858 is 366366.