Least Common Multiple of 862 and 868

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 868 the smallest integer that is 374108 that is divisible by both numbers.

Least Common Multiple (LCM) of 862 and 868 is 374108.

LCM(862,868) = 374108

LCM of 862 and 868

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

LCM of:
and

Least Common Multiple of 862 and 868

LCM of 862 and 868 is 374108

Least common multiple can be found by multiplying the highest exponent prime factors of 862 and 868. First we will calculate the prime factors of 862 and 868.

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 868


2 868
2 434
7 217
31 31
1

Prime factors of 868 are 2, 7,31. Prime factorization of 868 in exponential form is:

868 = 22×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 862 and 868.

LCM(862,868) = 22×71×311×4311
LCM(862,868) = 374108

Factors of 862

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

1, 2, 431, 862

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Least Common Multiple of 862 and 868 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 868, than apply into the LCM equation.

GCF(862,868) = 2
LCM(862,868) = ( 862 × 868) / 2
LCM(862,868) = 748216 / 2
LCM(862,868) = 374108

Properties of LCM 862 and 868

(i) The LCM of 868 and 862 is associative

LCM of 862 and 868 = LCM of 868 and 862

Related Least Common Multiples of 862

Related Least Common Multiples of 868

Frequently Asked Questions on LCM of 862 and 868

1. What is the LCM of 862 and 868?

Answer: LCM of 862 and 868 is 374108.

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 868?

Answer: Factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868. There are 12 integers that are factors of 868. The greatest factor of 868 is 868.

4. How to Find the LCM of 862 and 868?

Answer:

Least Common Multiple of 862 and 868 = 374108

Step 1: Find the prime factorization of 862

862 = 2 x 431

Step 2: Find the prime factorization of 868

868 = 2 x 2 x 7 x 31

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

LCM = 374108 = 2 x 2 x 7 x 31 x 431

Step 4: Therefore, the least common multiple of 862 and 868 is 374108.