Least Common Multiple of 872 and 880

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 880 the smallest integer that is 95920 that is divisible by both numbers.

Least Common Multiple (LCM) of 872 and 880 is 95920.

LCM(872,880) = 95920

LCM of 872 and 880

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

LCM of:
and

Least Common Multiple of 872 and 880

LCM of 872 and 880 is 95920

Least common multiple can be found by multiplying the highest exponent prime factors of 872 and 880. First we will calculate the prime factors of 872 and 880.

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 880


2 880
2 440
2 220
2 110
5 55
11 11
1

Prime factors of 880 are 2, 5,11. Prime factorization of 880 in exponential form is:

880 = 24×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 872 and 880.

LCM(872,880) = 24×51×111×1091
LCM(872,880) = 95920

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 880

List of positive integer factors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Least Common Multiple of 872 and 880 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 880, than apply into the LCM equation.

GCF(872,880) = 8
LCM(872,880) = ( 872 × 880) / 8
LCM(872,880) = 767360 / 8
LCM(872,880) = 95920

Properties of LCM 872 and 880

(i) The LCM of 880 and 872 is associative

LCM of 872 and 880 = LCM of 880 and 872

Related Least Common Multiples of 872

Related Least Common Multiples of 880

Frequently Asked Questions on LCM of 872 and 880

1. What is the LCM of 872 and 880?

Answer: LCM of 872 and 880 is 95920.

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 880?

Answer: Factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880. There are 20 integers that are factors of 880. The greatest factor of 880 is 880.

4. How to Find the LCM of 872 and 880?

Answer:

Least Common Multiple of 872 and 880 = 95920

Step 1: Find the prime factorization of 872

872 = 2 x 2 x 2 x 109

Step 2: Find the prime factorization of 880

880 = 2 x 2 x 2 x 2 x 5 x 11

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

LCM = 95920 = 2 x 2 x 2 x 2 x 5 x 11 x 109

Step 4: Therefore, the least common multiple of 872 and 880 is 95920.