Least Common Multiple of 874 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 874 and 880 the smallest integer that is 384560 that is divisible by both numbers.

Least Common Multiple (LCM) of 874 and 880 is 384560.

LCM(874,880) = 384560

LCM of 874 and 880

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

LCM of:
and

Least Common Multiple of 874 and 880

LCM of 874 and 880 is 384560

Least common multiple can be found by multiplying the highest exponent prime factors of 874 and 880. First we will calculate the prime factors of 874 and 880.

Prime Factorization of 874


2 874
19 437
23 23
1

Prime factors of 874 are 2, 19,23. Prime factorization of 874 in exponential form is:

874 = 21×191×231

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 874 and 880.

LCM(874,880) = 24×51×111×191×231
LCM(874,880) = 384560

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

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 874 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 874 and 880, than apply into the LCM equation.

GCF(874,880) = 2
LCM(874,880) = ( 874 × 880) / 2
LCM(874,880) = 769120 / 2
LCM(874,880) = 384560

Properties of LCM 874 and 880

(i) The LCM of 880 and 874 is associative

LCM of 874 and 880 = LCM of 880 and 874

Related Least Common Multiples of 874

Related Least Common Multiples of 880

Frequently Asked Questions on LCM of 874 and 880

1. What is the LCM of 874 and 880?

Answer: LCM of 874 and 880 is 384560.

2. What are the Factors of 874?

Answer: Factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874. There are 8 integers that are factors of 874. The greatest factor of 874 is 874.

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 874 and 880?

Answer:

Least Common Multiple of 874 and 880 = 384560

Step 1: Find the prime factorization of 874

874 = 2 x 19 x 23

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 = 384560 = 2 x 2 x 2 x 2 x 5 x 11 x 19 x 23

Step 4: Therefore, the least common multiple of 874 and 880 is 384560.