Least Common Multiple of 859 and 861

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 861 the smallest integer that is 739599 that is divisible by both numbers.

Least Common Multiple (LCM) of 859 and 861 is 739599.

LCM(859,861) = 739599

LCM of 859 and 861

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

LCM of:
and

Least Common Multiple of 859 and 861

LCM of 859 and 861 is 739599

Least common multiple can be found by multiplying the highest exponent prime factors of 859 and 861. First we will calculate the prime factors of 859 and 861.

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 861


3 861
7 287
41 41
1

Prime factors of 861 are 3, 7,41. Prime factorization of 861 in exponential form is:

861 = 31×71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 859 and 861.

LCM(859,861) = 31×71×411×8591
LCM(859,861) = 739599

Factors of 859

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

1, 859

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Least Common Multiple of 859 and 861 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 861, than apply into the LCM equation.

GCF(859,861) = 1
LCM(859,861) = ( 859 × 861) / 1
LCM(859,861) = 739599 / 1
LCM(859,861) = 739599

Properties of LCM 859 and 861

(i) The LCM of 861 and 859 is associative

LCM of 859 and 861 = LCM of 861 and 859

Related Least Common Multiples of 859

Related Least Common Multiples of 861

Frequently Asked Questions on LCM of 859 and 861

1. What is the LCM of 859 and 861?

Answer: LCM of 859 and 861 is 739599.

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 861?

Answer: Factors of 861 are 1, 3, 7, 21, 41, 123, 287, 861. There are 8 integers that are factors of 861. The greatest factor of 861 is 861.

4. How to Find the LCM of 859 and 861?

Answer:

Least Common Multiple of 859 and 861 = 739599

Step 1: Find the prime factorization of 859

859 = 859

Step 2: Find the prime factorization of 861

861 = 3 x 7 x 41

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

LCM = 739599 = 3 x 7 x 41 x 859

Step 4: Therefore, the least common multiple of 859 and 861 is 739599.