Least Common Multiple of 869 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 869 and 877 the smallest integer that is 762113 that is divisible by both numbers.

Least Common Multiple (LCM) of 869 and 877 is 762113.

LCM(869,877) = 762113

LCM of 869 and 877

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

LCM of:
and

Least Common Multiple of 869 and 877

LCM of 869 and 877 is 762113

Least common multiple can be found by multiplying the highest exponent prime factors of 869 and 877. First we will calculate the prime factors of 869 and 877.

Prime Factorization of 869


11 869
79 79
1

Prime factors of 869 are 11,79. Prime factorization of 869 in exponential form is:

869 = 111×791

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 869 and 877.

LCM(869,877) = 111×791×8771
LCM(869,877) = 762113

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Factors of 877

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

1, 877

Least Common Multiple of 869 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 869 and 877, than apply into the LCM equation.

GCF(869,877) = 1
LCM(869,877) = ( 869 × 877) / 1
LCM(869,877) = 762113 / 1
LCM(869,877) = 762113

Properties of LCM 869 and 877

(i) The LCM of 877 and 869 is associative

LCM of 869 and 877 = LCM of 877 and 869

Related Least Common Multiples of 869

Related Least Common Multiples of 877

Frequently Asked Questions on LCM of 869 and 877

1. What is the LCM of 869 and 877?

Answer: LCM of 869 and 877 is 762113.

2. What are the Factors of 869?

Answer: Factors of 869 are 1, 11, 79, 869. There are 4 integers that are factors of 869. The greatest factor of 869 is 869.

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 869 and 877?

Answer:

Least Common Multiple of 869 and 877 = 762113

Step 1: Find the prime factorization of 869

869 = 11 x 79

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 = 762113 = 11 x 79 x 877

Step 4: Therefore, the least common multiple of 869 and 877 is 762113.