Least Common Multiple of 872 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 872 and 877 the smallest integer that is 764744 that is divisible by both numbers.

Least Common Multiple (LCM) of 872 and 877 is 764744.

LCM(872,877) = 764744

LCM of 872 and 877

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

LCM of:
and

Least Common Multiple of 872 and 877

LCM of 872 and 877 is 764744

Least common multiple can be found by multiplying the highest exponent prime factors of 872 and 877. First we will calculate the prime factors of 872 and 877.

Prime Factorization of 872


2 872
2 436
2 218
109 109
1

Prime factors of 872 are 2,109. Prime factorization of 872 in exponential form is:

872 = 23×1091

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 872 and 877.

LCM(872,877) = 23×1091×8771
LCM(872,877) = 764744

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Factors of 877

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

1, 877

Least Common Multiple of 872 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 872 and 877, than apply into the LCM equation.

GCF(872,877) = 1
LCM(872,877) = ( 872 × 877) / 1
LCM(872,877) = 764744 / 1
LCM(872,877) = 764744

Properties of LCM 872 and 877

(i) The LCM of 877 and 872 is associative

LCM of 872 and 877 = LCM of 877 and 872

Related Least Common Multiples of 872

Related Least Common Multiples of 877

Frequently Asked Questions on LCM of 872 and 877

1. What is the LCM of 872 and 877?

Answer: LCM of 872 and 877 is 764744.

2. What are the Factors of 872?

Answer: Factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872. There are 8 integers that are factors of 872. The greatest factor of 872 is 872.

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 872 and 877?

Answer:

Least Common Multiple of 872 and 877 = 764744

Step 1: Find the prime factorization of 872

872 = 2 x 2 x 2 x 109

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 = 764744 = 2 x 2 x 2 x 109 x 877

Step 4: Therefore, the least common multiple of 872 and 877 is 764744.