Least Common Multiple of 870 and 878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 870 and 878 the smallest integer that is 381930 that is divisible by both numbers.

Least Common Multiple (LCM) of 870 and 878 is 381930.

LCM(870,878) = 381930

LCM of 870 and 878

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

LCM of:
and

Least Common Multiple of 870 and 878

LCM of 870 and 878 is 381930

Least common multiple can be found by multiplying the highest exponent prime factors of 870 and 878. First we will calculate the prime factors of 870 and 878.

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

Prime Factorization of 878


2 878
439 439
1

Prime factors of 878 are 2,439. Prime factorization of 878 in exponential form is:

878 = 21×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 870 and 878.

LCM(870,878) = 21×31×51×291×4391
LCM(870,878) = 381930

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

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Least Common Multiple of 870 and 878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 870 and 878, than apply into the LCM equation.

GCF(870,878) = 2
LCM(870,878) = ( 870 × 878) / 2
LCM(870,878) = 763860 / 2
LCM(870,878) = 381930

Properties of LCM 870 and 878

(i) The LCM of 878 and 870 is associative

LCM of 870 and 878 = LCM of 878 and 870

Related Least Common Multiples of 870

Related Least Common Multiples of 878

Frequently Asked Questions on LCM of 870 and 878

1. What is the LCM of 870 and 878?

Answer: LCM of 870 and 878 is 381930.

2. 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.

3. What are the Factors of 878?

Answer: Factors of 878 are 1, 2, 439, 878. There are 4 integers that are factors of 878. The greatest factor of 878 is 878.

4. How to Find the LCM of 870 and 878?

Answer:

Least Common Multiple of 870 and 878 = 381930

Step 1: Find the prime factorization of 870

870 = 2 x 3 x 5 x 29

Step 2: Find the prime factorization of 878

878 = 2 x 439

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

LCM = 381930 = 2 x 3 x 5 x 29 x 439

Step 4: Therefore, the least common multiple of 870 and 878 is 381930.