Least Common Multiple of 870 and 874

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 874 the smallest integer that is 380190 that is divisible by both numbers.

Least Common Multiple (LCM) of 870 and 874 is 380190.

LCM(870,874) = 380190

LCM of 870 and 874

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

LCM of:
and

Least Common Multiple of 870 and 874

LCM of 870 and 874 is 380190

Least common multiple can be found by multiplying the highest exponent prime factors of 870 and 874. First we will calculate the prime factors of 870 and 874.

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 874


2 874
19 437
23 23
1

Prime factors of 874 are 2, 19,23. Prime factorization of 874 in exponential form is:

874 = 21×191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 870 and 874.

LCM(870,874) = 21×31×51×191×231×291
LCM(870,874) = 380190

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 874

List of positive integer factors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Least Common Multiple of 870 and 874 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 874, than apply into the LCM equation.

GCF(870,874) = 2
LCM(870,874) = ( 870 × 874) / 2
LCM(870,874) = 760380 / 2
LCM(870,874) = 380190

Properties of LCM 870 and 874

(i) The LCM of 874 and 870 is associative

LCM of 870 and 874 = LCM of 874 and 870

Related Least Common Multiples of 870

Related Least Common Multiples of 874

Frequently Asked Questions on LCM of 870 and 874

1. What is the LCM of 870 and 874?

Answer: LCM of 870 and 874 is 380190.

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 874?

Answer: Factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874. There are 8 integers that are factors of 874. The greatest factor of 874 is 874.

4. How to Find the LCM of 870 and 874?

Answer:

Least Common Multiple of 870 and 874 = 380190

Step 1: Find the prime factorization of 870

870 = 2 x 3 x 5 x 29

Step 2: Find the prime factorization of 874

874 = 2 x 19 x 23

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

LCM = 380190 = 2 x 3 x 5 x 19 x 23 x 29

Step 4: Therefore, the least common multiple of 870 and 874 is 380190.