Least Common Multiple of 2862 and 2867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2862 and 2867 the smallest integer that is 8205354 that is divisible by both numbers.

Least Common Multiple (LCM) of 2862 and 2867 is 8205354.

LCM(2862,2867) = 8205354

LCM of 2862 and 2867

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

LCM of:
and

Least Common Multiple of 2862 and 2867

LCM of 2862 and 2867 is 8205354

Least common multiple can be found by multiplying the highest exponent prime factors of 2862 and 2867. First we will calculate the prime factors of 2862 and 2867.

Prime Factorization of 2862


2 2862
3 1431
3 477
3 159
53 53
1

Prime factors of 2862 are 2, 3,53. Prime factorization of 2862 in exponential form is:

2862 = 21×33×531

Prime Factorization of 2867


47 2867
61 61
1

Prime factors of 2867 are 47,61. Prime factorization of 2867 in exponential form is:

2867 = 471×611

Now multiplying the highest exponent prime factors to calculate the LCM of 2862 and 2867.

LCM(2862,2867) = 21×33×471×531×611
LCM(2862,2867) = 8205354

Factors of 2862

List of positive integer factors of 2862 that divides 2862 without a remainder.

1, 2, 3, 6, 9, 18, 27, 53, 54, 106, 159, 318, 477, 954, 1431, 2862

Factors of 2867

List of positive integer factors of 2867 that divides 2867 without a remainder.

1, 47, 61, 2867

Least Common Multiple of 2862 and 2867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2862 and 2867, than apply into the LCM equation.

GCF(2862,2867) = 1
LCM(2862,2867) = ( 2862 × 2867) / 1
LCM(2862,2867) = 8205354 / 1
LCM(2862,2867) = 8205354

Properties of LCM 2862 and 2867

(i) The LCM of 2867 and 2862 is associative

LCM of 2862 and 2867 = LCM of 2867 and 2862

Related Least Common Multiples of 2862

Related Least Common Multiples of 2867

Frequently Asked Questions on LCM of 2862 and 2867

1. What is the LCM of 2862 and 2867?

Answer: LCM of 2862 and 2867 is 8205354.

2. What are the Factors of 2862?

Answer: Factors of 2862 are 1, 2, 3, 6, 9, 18, 27, 53, 54, 106, 159, 318, 477, 954, 1431, 2862. There are 16 integers that are factors of 2862. The greatest factor of 2862 is 2862.

3. What are the Factors of 2867?

Answer: Factors of 2867 are 1, 47, 61, 2867. There are 4 integers that are factors of 2867. The greatest factor of 2867 is 2867.

4. How to Find the LCM of 2862 and 2867?

Answer:

Least Common Multiple of 2862 and 2867 = 8205354

Step 1: Find the prime factorization of 2862

2862 = 2 x 3 x 3 x 3 x 53

Step 2: Find the prime factorization of 2867

2867 = 47 x 61

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

LCM = 8205354 = 2 x 3 x 3 x 3 x 47 x 53 x 61

Step 4: Therefore, the least common multiple of 2862 and 2867 is 8205354.