Least Common Multiple of 862 and 865

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 865 the smallest integer that is 745630 that is divisible by both numbers.

Least Common Multiple (LCM) of 862 and 865 is 745630.

LCM(862,865) = 745630

LCM of 862 and 865

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

LCM of:
and

Least Common Multiple of 862 and 865

LCM of 862 and 865 is 745630

Least common multiple can be found by multiplying the highest exponent prime factors of 862 and 865. First we will calculate the prime factors of 862 and 865.

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 865


5 865
173 173
1

Prime factors of 865 are 5,173. Prime factorization of 865 in exponential form is:

865 = 51×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 862 and 865.

LCM(862,865) = 21×51×1731×4311
LCM(862,865) = 745630

Factors of 862

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

1, 2, 431, 862

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Least Common Multiple of 862 and 865 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 865, than apply into the LCM equation.

GCF(862,865) = 1
LCM(862,865) = ( 862 × 865) / 1
LCM(862,865) = 745630 / 1
LCM(862,865) = 745630

Properties of LCM 862 and 865

(i) The LCM of 865 and 862 is associative

LCM of 862 and 865 = LCM of 865 and 862

Related Least Common Multiples of 862

Related Least Common Multiples of 865

Frequently Asked Questions on LCM of 862 and 865

1. What is the LCM of 862 and 865?

Answer: LCM of 862 and 865 is 745630.

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 865?

Answer: Factors of 865 are 1, 5, 173, 865. There are 4 integers that are factors of 865. The greatest factor of 865 is 865.

4. How to Find the LCM of 862 and 865?

Answer:

Least Common Multiple of 862 and 865 = 745630

Step 1: Find the prime factorization of 862

862 = 2 x 431

Step 2: Find the prime factorization of 865

865 = 5 x 173

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

LCM = 745630 = 2 x 5 x 173 x 431

Step 4: Therefore, the least common multiple of 862 and 865 is 745630.