Least Common Multiple of 876 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 876 and 880 the smallest integer that is 192720 that is divisible by both numbers.

Least Common Multiple (LCM) of 876 and 880 is 192720.

LCM(876,880) = 192720

LCM of 876 and 880

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

LCM of:
and

Least Common Multiple of 876 and 880

LCM of 876 and 880 is 192720

Least common multiple can be found by multiplying the highest exponent prime factors of 876 and 880. First we will calculate the prime factors of 876 and 880.

Prime Factorization of 876


2 876
2 438
3 219
73 73
1

Prime factors of 876 are 2, 3,73. Prime factorization of 876 in exponential form is:

876 = 22×31×731

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 876 and 880.

LCM(876,880) = 24×31×51×111×731
LCM(876,880) = 192720

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

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 876 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 876 and 880, than apply into the LCM equation.

GCF(876,880) = 4
LCM(876,880) = ( 876 × 880) / 4
LCM(876,880) = 770880 / 4
LCM(876,880) = 192720

Properties of LCM 876 and 880

(i) The LCM of 880 and 876 is associative

LCM of 876 and 880 = LCM of 880 and 876

Related Least Common Multiples of 876

Related Least Common Multiples of 880

Frequently Asked Questions on LCM of 876 and 880

1. What is the LCM of 876 and 880?

Answer: LCM of 876 and 880 is 192720.

2. What are the Factors of 876?

Answer: Factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876. There are 12 integers that are factors of 876. The greatest factor of 876 is 876.

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 876 and 880?

Answer:

Least Common Multiple of 876 and 880 = 192720

Step 1: Find the prime factorization of 876

876 = 2 x 2 x 3 x 73

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 = 192720 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 73

Step 4: Therefore, the least common multiple of 876 and 880 is 192720.