Least Common Multiple of 2860 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 2860 and 2867 the smallest integer that is 8199620 that is divisible by both numbers.

Least Common Multiple (LCM) of 2860 and 2867 is 8199620.

LCM(2860,2867) = 8199620

LCM of 2860 and 2867

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

LCM of:
and

Least Common Multiple of 2860 and 2867

LCM of 2860 and 2867 is 8199620

Least common multiple can be found by multiplying the highest exponent prime factors of 2860 and 2867. First we will calculate the prime factors of 2860 and 2867.

Prime Factorization of 2860


2 2860
2 1430
5 715
11 143
13 13
1

Prime factors of 2860 are 2, 5, 11,13. Prime factorization of 2860 in exponential form is:

2860 = 22×51×111×131

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 2860 and 2867.

LCM(2860,2867) = 22×51×111×131×471×611
LCM(2860,2867) = 8199620

Factors of 2860

List of positive integer factors of 2860 that divides 2860 without a remainder.

1, 2, 4, 5, 10, 11, 13, 20, 22, 26, 44, 52, 55, 65, 110, 130, 143, 220, 260, 286, 572, 715, 1430, 2860

Factors of 2867

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

1, 47, 61, 2867

Least Common Multiple of 2860 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 2860 and 2867, than apply into the LCM equation.

GCF(2860,2867) = 1
LCM(2860,2867) = ( 2860 × 2867) / 1
LCM(2860,2867) = 8199620 / 1
LCM(2860,2867) = 8199620

Properties of LCM 2860 and 2867

(i) The LCM of 2867 and 2860 is associative

LCM of 2860 and 2867 = LCM of 2867 and 2860

Related Least Common Multiples of 2860

Related Least Common Multiples of 2867

Frequently Asked Questions on LCM of 2860 and 2867

1. What is the LCM of 2860 and 2867?

Answer: LCM of 2860 and 2867 is 8199620.

2. What are the Factors of 2860?

Answer: Factors of 2860 are 1, 2, 4, 5, 10, 11, 13, 20, 22, 26, 44, 52, 55, 65, 110, 130, 143, 220, 260, 286, 572, 715, 1430, 2860. There are 24 integers that are factors of 2860. The greatest factor of 2860 is 2860.

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 2860 and 2867?

Answer:

Least Common Multiple of 2860 and 2867 = 8199620

Step 1: Find the prime factorization of 2860

2860 = 2 x 2 x 5 x 11 x 13

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 = 8199620 = 2 x 2 x 5 x 11 x 13 x 47 x 61

Step 4: Therefore, the least common multiple of 2860 and 2867 is 8199620.