Least Common Multiple of 866 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 866 and 870 the smallest integer that is 376710 that is divisible by both numbers.

Least Common Multiple (LCM) of 866 and 870 is 376710.

LCM(866,870) = 376710

LCM of 866 and 870

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

LCM of:
and

Least Common Multiple of 866 and 870

LCM of 866 and 870 is 376710

Least common multiple can be found by multiplying the highest exponent prime factors of 866 and 870. First we will calculate the prime factors of 866 and 870.

Prime Factorization of 866


2 866
433 433
1

Prime factors of 866 are 2,433. Prime factorization of 866 in exponential form is:

866 = 21×4331

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 866 and 870.

LCM(866,870) = 21×31×51×291×4331
LCM(866,870) = 376710

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1, 2, 433, 866

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 866 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 866 and 870, than apply into the LCM equation.

GCF(866,870) = 2
LCM(866,870) = ( 866 × 870) / 2
LCM(866,870) = 753420 / 2
LCM(866,870) = 376710

Properties of LCM 866 and 870

(i) The LCM of 870 and 866 is associative

LCM of 866 and 870 = LCM of 870 and 866

Related Least Common Multiples of 866

Related Least Common Multiples of 870

Frequently Asked Questions on LCM of 866 and 870

1. What is the LCM of 866 and 870?

Answer: LCM of 866 and 870 is 376710.

2. What are the Factors of 866?

Answer: Factors of 866 are 1, 2, 433, 866. There are 4 integers that are factors of 866. The greatest factor of 866 is 866.

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 866 and 870?

Answer:

Least Common Multiple of 866 and 870 = 376710

Step 1: Find the prime factorization of 866

866 = 2 x 433

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 = 376710 = 2 x 3 x 5 x 29 x 433

Step 4: Therefore, the least common multiple of 866 and 870 is 376710.