Least Common Multiple of 854 and 862

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 862 the smallest integer that is 368074 that is divisible by both numbers.

Least Common Multiple (LCM) of 854 and 862 is 368074.

LCM(854,862) = 368074

LCM of 854 and 862

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

LCM of:
and

Least Common Multiple of 854 and 862

LCM of 854 and 862 is 368074

Least common multiple can be found by multiplying the highest exponent prime factors of 854 and 862. First we will calculate the prime factors of 854 and 862.

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 862


2 862
431 431
1

Prime factors of 862 are 2,431. Prime factorization of 862 in exponential form is:

862 = 21×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 854 and 862.

LCM(854,862) = 21×71×611×4311
LCM(854,862) = 368074

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 862

List of positive integer factors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Least Common Multiple of 854 and 862 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 862, than apply into the LCM equation.

GCF(854,862) = 2
LCM(854,862) = ( 854 × 862) / 2
LCM(854,862) = 736148 / 2
LCM(854,862) = 368074

Properties of LCM 854 and 862

(i) The LCM of 862 and 854 is associative

LCM of 854 and 862 = LCM of 862 and 854

Related Least Common Multiples of 854

Related Least Common Multiples of 862

Frequently Asked Questions on LCM of 854 and 862

1. What is the LCM of 854 and 862?

Answer: LCM of 854 and 862 is 368074.

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 862?

Answer: Factors of 862 are 1, 2, 431, 862. There are 4 integers that are factors of 862. The greatest factor of 862 is 862.

4. How to Find the LCM of 854 and 862?

Answer:

Least Common Multiple of 854 and 862 = 368074

Step 1: Find the prime factorization of 854

854 = 2 x 7 x 61

Step 2: Find the prime factorization of 862

862 = 2 x 431

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

LCM = 368074 = 2 x 7 x 61 x 431

Step 4: Therefore, the least common multiple of 854 and 862 is 368074.