Least Common Multiple of 854 and 859

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 859 the smallest integer that is 733586 that is divisible by both numbers.

Least Common Multiple (LCM) of 854 and 859 is 733586.

LCM(854,859) = 733586

LCM of 854 and 859

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

LCM of:
and

Least Common Multiple of 854 and 859

LCM of 854 and 859 is 733586

Least common multiple can be found by multiplying the highest exponent prime factors of 854 and 859. First we will calculate the prime factors of 854 and 859.

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 859


859 859
1

Prime factors of 859 are 859. Prime factorization of 859 in exponential form is:

859 = 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 854 and 859.

LCM(854,859) = 21×71×611×8591
LCM(854,859) = 733586

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 859

List of positive integer factors of 859 that divides 859 without a remainder.

1, 859

Least Common Multiple of 854 and 859 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 859, than apply into the LCM equation.

GCF(854,859) = 1
LCM(854,859) = ( 854 × 859) / 1
LCM(854,859) = 733586 / 1
LCM(854,859) = 733586

Properties of LCM 854 and 859

(i) The LCM of 859 and 854 is associative

LCM of 854 and 859 = LCM of 859 and 854

Related Least Common Multiples of 854

Related Least Common Multiples of 859

Frequently Asked Questions on LCM of 854 and 859

1. What is the LCM of 854 and 859?

Answer: LCM of 854 and 859 is 733586.

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 859?

Answer: Factors of 859 are 1, 859. There are 2 integers that are factors of 859. The greatest factor of 859 is 859.

4. How to Find the LCM of 854 and 859?

Answer:

Least Common Multiple of 854 and 859 = 733586

Step 1: Find the prime factorization of 854

854 = 2 x 7 x 61

Step 2: Find the prime factorization of 859

859 = 859

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

LCM = 733586 = 2 x 7 x 61 x 859

Step 4: Therefore, the least common multiple of 854 and 859 is 733586.