Least Common Multiple of 854 and 857

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 857 the smallest integer that is 731878 that is divisible by both numbers.

Least Common Multiple (LCM) of 854 and 857 is 731878.

LCM(854,857) = 731878

LCM of 854 and 857

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

LCM of:
and

Least Common Multiple of 854 and 857

LCM of 854 and 857 is 731878

Least common multiple can be found by multiplying the highest exponent prime factors of 854 and 857. First we will calculate the prime factors of 854 and 857.

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 857


857 857
1

Prime factors of 857 are 857. Prime factorization of 857 in exponential form is:

857 = 8571

Now multiplying the highest exponent prime factors to calculate the LCM of 854 and 857.

LCM(854,857) = 21×71×611×8571
LCM(854,857) = 731878

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 857

List of positive integer factors of 857 that divides 857 without a remainder.

1, 857

Least Common Multiple of 854 and 857 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 857, than apply into the LCM equation.

GCF(854,857) = 1
LCM(854,857) = ( 854 × 857) / 1
LCM(854,857) = 731878 / 1
LCM(854,857) = 731878

Properties of LCM 854 and 857

(i) The LCM of 857 and 854 is associative

LCM of 854 and 857 = LCM of 857 and 854

Related Least Common Multiples of 854

Related Least Common Multiples of 857

Frequently Asked Questions on LCM of 854 and 857

1. What is the LCM of 854 and 857?

Answer: LCM of 854 and 857 is 731878.

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 857?

Answer: Factors of 857 are 1, 857. There are 2 integers that are factors of 857. The greatest factor of 857 is 857.

4. How to Find the LCM of 854 and 857?

Answer:

Least Common Multiple of 854 and 857 = 731878

Step 1: Find the prime factorization of 854

854 = 2 x 7 x 61

Step 2: Find the prime factorization of 857

857 = 857

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

LCM = 731878 = 2 x 7 x 61 x 857

Step 4: Therefore, the least common multiple of 854 and 857 is 731878.