Least Common Multiple of 868 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 868 and 870 the smallest integer that is 377580 that is divisible by both numbers.

Least Common Multiple (LCM) of 868 and 870 is 377580.

LCM(868,870) = 377580

LCM of 868 and 870

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

LCM of:
and

Least Common Multiple of 868 and 870

LCM of 868 and 870 is 377580

Least common multiple can be found by multiplying the highest exponent prime factors of 868 and 870. First we will calculate the prime factors of 868 and 870.

Prime Factorization of 868


2 868
2 434
7 217
31 31
1

Prime factors of 868 are 2, 7,31. Prime factorization of 868 in exponential form is:

868 = 22×71×311

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 868 and 870.

LCM(868,870) = 22×31×51×71×291×311
LCM(868,870) = 377580

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

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 868 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 868 and 870, than apply into the LCM equation.

GCF(868,870) = 2
LCM(868,870) = ( 868 × 870) / 2
LCM(868,870) = 755160 / 2
LCM(868,870) = 377580

Properties of LCM 868 and 870

(i) The LCM of 870 and 868 is associative

LCM of 868 and 870 = LCM of 870 and 868

Related Least Common Multiples of 868

Related Least Common Multiples of 870

Frequently Asked Questions on LCM of 868 and 870

1. What is the LCM of 868 and 870?

Answer: LCM of 868 and 870 is 377580.

2. What are the Factors of 868?

Answer: Factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868. There are 12 integers that are factors of 868. The greatest factor of 868 is 868.

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 868 and 870?

Answer:

Least Common Multiple of 868 and 870 = 377580

Step 1: Find the prime factorization of 868

868 = 2 x 2 x 7 x 31

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 = 377580 = 2 x 2 x 3 x 5 x 7 x 29 x 31

Step 4: Therefore, the least common multiple of 868 and 870 is 377580.