Least Common Multiple of 863 and 870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 863 and 870 the smallest integer that is 750810 that is divisible by both numbers.

Least Common Multiple (LCM) of 863 and 870 is 750810.

LCM(863,870) = 750810

LCM of 863 and 870

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

LCM of:
and

Least Common Multiple of 863 and 870

LCM of 863 and 870 is 750810

Least common multiple can be found by multiplying the highest exponent prime factors of 863 and 870. First we will calculate the prime factors of 863 and 870.

Prime Factorization of 863


863 863
1

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

863 = 8631

Prime Factorization of 870


2 870
3 435
5 145
29 29
1

Prime factors of 870 are 2, 3, 5,29. Prime factorization of 870 in exponential form is:

870 = 21×31×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 863 and 870.

LCM(863,870) = 21×31×51×291×8631
LCM(863,870) = 750810

Factors of 863

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

1, 863

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Least Common Multiple of 863 and 870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 863 and 870, than apply into the LCM equation.

GCF(863,870) = 1
LCM(863,870) = ( 863 × 870) / 1
LCM(863,870) = 750810 / 1
LCM(863,870) = 750810

Properties of LCM 863 and 870

(i) The LCM of 870 and 863 is associative

LCM of 863 and 870 = LCM of 870 and 863

Related Least Common Multiples of 863

Related Least Common Multiples of 870

Frequently Asked Questions on LCM of 863 and 870

1. What is the LCM of 863 and 870?

Answer: LCM of 863 and 870 is 750810.

2. 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.

3. What are the Factors of 870?

Answer: Factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870. There are 16 integers that are factors of 870. The greatest factor of 870 is 870.

4. How to Find the LCM of 863 and 870?

Answer:

Least Common Multiple of 863 and 870 = 750810

Step 1: Find the prime factorization of 863

863 = 863

Step 2: Find the prime factorization of 870

870 = 2 x 3 x 5 x 29

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

LCM = 750810 = 2 x 3 x 5 x 29 x 863

Step 4: Therefore, the least common multiple of 863 and 870 is 750810.