Least Common Multiple of 860 and 867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 860 and 867 the smallest integer that is 745620 that is divisible by both numbers.

Least Common Multiple (LCM) of 860 and 867 is 745620.

LCM(860,867) = 745620

LCM of 860 and 867

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

LCM of:
and

Least Common Multiple of 860 and 867

LCM of 860 and 867 is 745620

Least common multiple can be found by multiplying the highest exponent prime factors of 860 and 867. First we will calculate the prime factors of 860 and 867.

Prime Factorization of 860


2 860
2 430
5 215
43 43
1

Prime factors of 860 are 2, 5,43. Prime factorization of 860 in exponential form is:

860 = 22×51×431

Prime Factorization of 867


3 867
17 289
17 17
1

Prime factors of 867 are 3,17. Prime factorization of 867 in exponential form is:

867 = 31×172

Now multiplying the highest exponent prime factors to calculate the LCM of 860 and 867.

LCM(860,867) = 22×31×51×172×431
LCM(860,867) = 745620

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Least Common Multiple of 860 and 867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 860 and 867, than apply into the LCM equation.

GCF(860,867) = 1
LCM(860,867) = ( 860 × 867) / 1
LCM(860,867) = 745620 / 1
LCM(860,867) = 745620

Properties of LCM 860 and 867

(i) The LCM of 867 and 860 is associative

LCM of 860 and 867 = LCM of 867 and 860

Related Least Common Multiples of 860

Related Least Common Multiples of 867

Frequently Asked Questions on LCM of 860 and 867

1. What is the LCM of 860 and 867?

Answer: LCM of 860 and 867 is 745620.

2. What are the Factors of 860?

Answer: Factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860. There are 12 integers that are factors of 860. The greatest factor of 860 is 860.

3. What are the Factors of 867?

Answer: Factors of 867 are 1, 3, 17, 51, 289, 867. There are 6 integers that are factors of 867. The greatest factor of 867 is 867.

4. How to Find the LCM of 860 and 867?

Answer:

Least Common Multiple of 860 and 867 = 745620

Step 1: Find the prime factorization of 860

860 = 2 x 2 x 5 x 43

Step 2: Find the prime factorization of 867

867 = 3 x 17 x 17

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

LCM = 745620 = 2 x 2 x 3 x 5 x 17 x 17 x 43

Step 4: Therefore, the least common multiple of 860 and 867 is 745620.