Least Common Multiple of 862 and 864

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 864 the smallest integer that is 372384 that is divisible by both numbers.

Least Common Multiple (LCM) of 862 and 864 is 372384.

LCM(862,864) = 372384

LCM of 862 and 864

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

LCM of:
and

Least Common Multiple of 862 and 864

LCM of 862 and 864 is 372384

Least common multiple can be found by multiplying the highest exponent prime factors of 862 and 864. First we will calculate the prime factors of 862 and 864.

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 864


2 864
2 432
2 216
2 108
2 54
3 27
3 9
3 3
1

Prime factors of 864 are 2,3. Prime factorization of 864 in exponential form is:

864 = 25×33

Now multiplying the highest exponent prime factors to calculate the LCM of 862 and 864.

LCM(862,864) = 25×33×4311
LCM(862,864) = 372384

Factors of 862

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

1, 2, 431, 862

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Least Common Multiple of 862 and 864 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 864, than apply into the LCM equation.

GCF(862,864) = 2
LCM(862,864) = ( 862 × 864) / 2
LCM(862,864) = 744768 / 2
LCM(862,864) = 372384

Properties of LCM 862 and 864

(i) The LCM of 864 and 862 is associative

LCM of 862 and 864 = LCM of 864 and 862

Related Least Common Multiples of 862

Related Least Common Multiples of 864

Frequently Asked Questions on LCM of 862 and 864

1. What is the LCM of 862 and 864?

Answer: LCM of 862 and 864 is 372384.

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 864?

Answer: Factors of 864 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864. There are 24 integers that are factors of 864. The greatest factor of 864 is 864.

4. How to Find the LCM of 862 and 864?

Answer:

Least Common Multiple of 862 and 864 = 372384

Step 1: Find the prime factorization of 862

862 = 2 x 431

Step 2: Find the prime factorization of 864

864 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

LCM = 372384 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 431

Step 4: Therefore, the least common multiple of 862 and 864 is 372384.