Least Common Multiple of 859 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 859 and 867 the smallest integer that is 744753 that is divisible by both numbers.

Least Common Multiple (LCM) of 859 and 867 is 744753.

LCM(859,867) = 744753

LCM of 859 and 867

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

LCM of:
and

Least Common Multiple of 859 and 867

LCM of 859 and 867 is 744753

Least common multiple can be found by multiplying the highest exponent prime factors of 859 and 867. First we will calculate the prime factors of 859 and 867.

Prime Factorization of 859


859 859
1

Prime factors of 859 are 859. Prime factorization of 859 in exponential form is:

859 = 8591

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 859 and 867.

LCM(859,867) = 31×172×8591
LCM(859,867) = 744753

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1, 859

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 859 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 859 and 867, than apply into the LCM equation.

GCF(859,867) = 1
LCM(859,867) = ( 859 × 867) / 1
LCM(859,867) = 744753 / 1
LCM(859,867) = 744753

Properties of LCM 859 and 867

(i) The LCM of 867 and 859 is associative

LCM of 859 and 867 = LCM of 867 and 859

Related Least Common Multiples of 859

Related Least Common Multiples of 867

Frequently Asked Questions on LCM of 859 and 867

1. What is the LCM of 859 and 867?

Answer: LCM of 859 and 867 is 744753.

2. What are the Factors of 859?

Answer: Factors of 859 are 1, 859. There are 2 integers that are factors of 859. The greatest factor of 859 is 859.

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 859 and 867?

Answer:

Least Common Multiple of 859 and 867 = 744753

Step 1: Find the prime factorization of 859

859 = 859

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 = 744753 = 3 x 17 x 17 x 859

Step 4: Therefore, the least common multiple of 859 and 867 is 744753.