Least Common Multiple of 862 and 867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 862 and 867 the smallest integer that is 747354 that is divisible by both numbers.

Least Common Multiple (LCM) of 862 and 867 is 747354.

LCM(862,867) = 747354

LCM of 862 and 867

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

LCM of:
and

Least Common Multiple of 862 and 867

LCM of 862 and 867 is 747354

Least common multiple can be found by multiplying the highest exponent prime factors of 862 and 867. First we will calculate the prime factors of 862 and 867.

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

Prime Factorization of 867


3 867
17 289
17 17
1

Prime factors of 867 are 3,17. Prime factorization of 867 in exponential form is:

867 = 31×172

Now multiplying the highest exponent prime factors to calculate the LCM of 862 and 867.

LCM(862,867) = 21×31×172×4311
LCM(862,867) = 747354

Factors of 862

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

1, 2, 431, 862

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Least Common Multiple of 862 and 867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 862 and 867, than apply into the LCM equation.

GCF(862,867) = 1
LCM(862,867) = ( 862 × 867) / 1
LCM(862,867) = 747354 / 1
LCM(862,867) = 747354

Properties of LCM 862 and 867

(i) The LCM of 867 and 862 is associative

LCM of 862 and 867 = LCM of 867 and 862

Related Least Common Multiples of 862

Related Least Common Multiples of 867

Frequently Asked Questions on LCM of 862 and 867

1. What is the LCM of 862 and 867?

Answer: LCM of 862 and 867 is 747354.

2. 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.

3. What are the Factors of 867?

Answer: Factors of 867 are 1, 3, 17, 51, 289, 867. There are 6 integers that are factors of 867. The greatest factor of 867 is 867.

4. How to Find the LCM of 862 and 867?

Answer:

Least Common Multiple of 862 and 867 = 747354

Step 1: Find the prime factorization of 862

862 = 2 x 431

Step 2: Find the prime factorization of 867

867 = 3 x 17 x 17

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

LCM = 747354 = 2 x 3 x 17 x 17 x 431

Step 4: Therefore, the least common multiple of 862 and 867 is 747354.