Least Common Multiple of 877 and 883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 877 and 883 the smallest integer that is 774391 that is divisible by both numbers.

Least Common Multiple (LCM) of 877 and 883 is 774391.

LCM(877,883) = 774391

LCM of 877 and 883

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

LCM of:
and

Least Common Multiple of 877 and 883

LCM of 877 and 883 is 774391

Least common multiple can be found by multiplying the highest exponent prime factors of 877 and 883. First we will calculate the prime factors of 877 and 883.

Prime Factorization of 877


877 877
1

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

877 = 8771

Prime Factorization of 883


883 883
1

Prime factors of 883 are 883. Prime factorization of 883 in exponential form is:

883 = 8831

Now multiplying the highest exponent prime factors to calculate the LCM of 877 and 883.

LCM(877,883) = 8771×8831
LCM(877,883) = 774391

Factors of 877

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

1, 877

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1, 883

Least Common Multiple of 877 and 883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 877 and 883, than apply into the LCM equation.

GCF(877,883) = 1
LCM(877,883) = ( 877 × 883) / 1
LCM(877,883) = 774391 / 1
LCM(877,883) = 774391

Properties of LCM 877 and 883

(i) The LCM of 883 and 877 is associative

LCM of 877 and 883 = LCM of 883 and 877

Related Least Common Multiples of 877

Related Least Common Multiples of 883

Frequently Asked Questions on LCM of 877 and 883

1. What is the LCM of 877 and 883?

Answer: LCM of 877 and 883 is 774391.

2. 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.

3. What are the Factors of 883?

Answer: Factors of 883 are 1, 883. There are 2 integers that are factors of 883. The greatest factor of 883 is 883.

4. How to Find the LCM of 877 and 883?

Answer:

Least Common Multiple of 877 and 883 = 774391

Step 1: Find the prime factorization of 877

877 = 877

Step 2: Find the prime factorization of 883

883 = 883

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

LCM = 774391 = 877 x 883

Step 4: Therefore, the least common multiple of 877 and 883 is 774391.