Least Common Multiple of 862 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 862 and 870 the smallest integer that is 374970 that is divisible by both numbers.

Least Common Multiple (LCM) of 862 and 870 is 374970.

LCM(862,870) = 374970

LCM of 862 and 870

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

LCM of:
and

Least Common Multiple of 862 and 870

LCM of 862 and 870 is 374970

Least common multiple can be found by multiplying the highest exponent prime factors of 862 and 870. First we will calculate the prime factors of 862 and 870.

Prime Factorization of 862


2 862
431 431
1

Prime factors of 862 are 2,431. Prime factorization of 862 in exponential form is:

862 = 21×4311

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 862 and 870.

LCM(862,870) = 21×31×51×291×4311
LCM(862,870) = 374970

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1, 2, 431, 862

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 862 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 862 and 870, than apply into the LCM equation.

GCF(862,870) = 2
LCM(862,870) = ( 862 × 870) / 2
LCM(862,870) = 749940 / 2
LCM(862,870) = 374970

Properties of LCM 862 and 870

(i) The LCM of 870 and 862 is associative

LCM of 862 and 870 = LCM of 870 and 862

Related Least Common Multiples of 862

Related Least Common Multiples of 870

Frequently Asked Questions on LCM of 862 and 870

1. What is the LCM of 862 and 870?

Answer: LCM of 862 and 870 is 374970.

2. What are the Factors of 862?

Answer: Factors of 862 are 1, 2, 431, 862. There are 4 integers that are factors of 862. The greatest factor of 862 is 862.

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 862 and 870?

Answer:

Least Common Multiple of 862 and 870 = 374970

Step 1: Find the prime factorization of 862

862 = 2 x 431

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 = 374970 = 2 x 3 x 5 x 29 x 431

Step 4: Therefore, the least common multiple of 862 and 870 is 374970.