Least Common Multiple of 859 and 863

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 863 the smallest integer that is 741317 that is divisible by both numbers.

Least Common Multiple (LCM) of 859 and 863 is 741317.

LCM(859,863) = 741317

LCM of 859 and 863

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

LCM of:
and

Least Common Multiple of 859 and 863

LCM of 859 and 863 is 741317

Least common multiple can be found by multiplying the highest exponent prime factors of 859 and 863. First we will calculate the prime factors of 859 and 863.

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 863


863 863
1

Prime factors of 863 are 863. Prime factorization of 863 in exponential form is:

863 = 8631

Now multiplying the highest exponent prime factors to calculate the LCM of 859 and 863.

LCM(859,863) = 8591×8631
LCM(859,863) = 741317

Factors of 859

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

1, 859

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1, 863

Least Common Multiple of 859 and 863 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 863, than apply into the LCM equation.

GCF(859,863) = 1
LCM(859,863) = ( 859 × 863) / 1
LCM(859,863) = 741317 / 1
LCM(859,863) = 741317

Properties of LCM 859 and 863

(i) The LCM of 863 and 859 is associative

LCM of 859 and 863 = LCM of 863 and 859

Related Least Common Multiples of 859

Related Least Common Multiples of 863

Frequently Asked Questions on LCM of 859 and 863

1. What is the LCM of 859 and 863?

Answer: LCM of 859 and 863 is 741317.

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 863?

Answer: Factors of 863 are 1, 863. There are 2 integers that are factors of 863. The greatest factor of 863 is 863.

4. How to Find the LCM of 859 and 863?

Answer:

Least Common Multiple of 859 and 863 = 741317

Step 1: Find the prime factorization of 859

859 = 859

Step 2: Find the prime factorization of 863

863 = 863

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

LCM = 741317 = 859 x 863

Step 4: Therefore, the least common multiple of 859 and 863 is 741317.