Least Common Multiple of 859 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 859 and 865 the smallest integer that is 743035 that is divisible by both numbers.

Least Common Multiple (LCM) of 859 and 865 is 743035.

LCM(859,865) = 743035

LCM of 859 and 865

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

LCM of:
and

Least Common Multiple of 859 and 865

LCM of 859 and 865 is 743035

Least common multiple can be found by multiplying the highest exponent prime factors of 859 and 865. First we will calculate the prime factors of 859 and 865.

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 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 859 and 865.

LCM(859,865) = 51×1731×8591
LCM(859,865) = 743035

Factors of 859

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

1, 859

Factors of 865

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

1, 5, 173, 865

Least Common Multiple of 859 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 859 and 865, than apply into the LCM equation.

GCF(859,865) = 1
LCM(859,865) = ( 859 × 865) / 1
LCM(859,865) = 743035 / 1
LCM(859,865) = 743035

Properties of LCM 859 and 865

(i) The LCM of 865 and 859 is associative

LCM of 859 and 865 = LCM of 865 and 859

Related Least Common Multiples of 859

Related Least Common Multiples of 865

Frequently Asked Questions on LCM of 859 and 865

1. What is the LCM of 859 and 865?

Answer: LCM of 859 and 865 is 743035.

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 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 859 and 865?

Answer:

Least Common Multiple of 859 and 865 = 743035

Step 1: Find the prime factorization of 859

859 = 859

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 = 743035 = 5 x 173 x 859

Step 4: Therefore, the least common multiple of 859 and 865 is 743035.