Least Common Multiple of 870 and 877

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 877 the smallest integer that is 762990 that is divisible by both numbers.

Least Common Multiple (LCM) of 870 and 877 is 762990.

LCM(870,877) = 762990

LCM of 870 and 877

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

LCM of:
and

Least Common Multiple of 870 and 877

LCM of 870 and 877 is 762990

Least common multiple can be found by multiplying the highest exponent prime factors of 870 and 877. First we will calculate the prime factors of 870 and 877.

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 877


877 877
1

Prime factors of 877 are 877. Prime factorization of 877 in exponential form is:

877 = 8771

Now multiplying the highest exponent prime factors to calculate the LCM of 870 and 877.

LCM(870,877) = 21×31×51×291×8771
LCM(870,877) = 762990

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 877

List of positive integer factors of 877 that divides 877 without a remainder.

1, 877

Least Common Multiple of 870 and 877 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 877, than apply into the LCM equation.

GCF(870,877) = 1
LCM(870,877) = ( 870 × 877) / 1
LCM(870,877) = 762990 / 1
LCM(870,877) = 762990

Properties of LCM 870 and 877

(i) The LCM of 877 and 870 is associative

LCM of 870 and 877 = LCM of 877 and 870

Related Least Common Multiples of 870

Related Least Common Multiples of 877

Frequently Asked Questions on LCM of 870 and 877

1. What is the LCM of 870 and 877?

Answer: LCM of 870 and 877 is 762990.

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 877?

Answer: Factors of 877 are 1, 877. There are 2 integers that are factors of 877. The greatest factor of 877 is 877.

4. How to Find the LCM of 870 and 877?

Answer:

Least Common Multiple of 870 and 877 = 762990

Step 1: Find the prime factorization of 870

870 = 2 x 3 x 5 x 29

Step 2: Find the prime factorization of 877

877 = 877

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

LCM = 762990 = 2 x 3 x 5 x 29 x 877

Step 4: Therefore, the least common multiple of 870 and 877 is 762990.