Least Common Multiple of 1872 and 1880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1872 and 1880 the smallest integer that is 439920 that is divisible by both numbers.

Least Common Multiple (LCM) of 1872 and 1880 is 439920.

LCM(1872,1880) = 439920

LCM of 1872 and 1880

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

LCM of:
and

Least Common Multiple of 1872 and 1880

LCM of 1872 and 1880 is 439920

Least common multiple can be found by multiplying the highest exponent prime factors of 1872 and 1880. First we will calculate the prime factors of 1872 and 1880.

Prime Factorization of 1872


2 1872
2 936
2 468
2 234
3 117
3 39
13 13
1

Prime factors of 1872 are 2, 3,13. Prime factorization of 1872 in exponential form is:

1872 = 24×32×131

Prime Factorization of 1880


2 1880
2 940
2 470
5 235
47 47
1

Prime factors of 1880 are 2, 5,47. Prime factorization of 1880 in exponential form is:

1880 = 23×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1872 and 1880.

LCM(1872,1880) = 24×32×51×131×471
LCM(1872,1880) = 439920

Factors of 1872

List of positive integer factors of 1872 that divides 1872 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872

Factors of 1880

List of positive integer factors of 1880 that divides 1880 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 47, 94, 188, 235, 376, 470, 940, 1880

Least Common Multiple of 1872 and 1880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1872 and 1880, than apply into the LCM equation.

GCF(1872,1880) = 8
LCM(1872,1880) = ( 1872 × 1880) / 8
LCM(1872,1880) = 3519360 / 8
LCM(1872,1880) = 439920

Properties of LCM 1872 and 1880

(i) The LCM of 1880 and 1872 is associative

LCM of 1872 and 1880 = LCM of 1880 and 1872

Related Least Common Multiples of 1872

Related Least Common Multiples of 1880

Frequently Asked Questions on LCM of 1872 and 1880

1. What is the LCM of 1872 and 1880?

Answer: LCM of 1872 and 1880 is 439920.

2. What are the Factors of 1872?

Answer: Factors of 1872 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872. There are 30 integers that are factors of 1872. The greatest factor of 1872 is 1872.

3. What are the Factors of 1880?

Answer: Factors of 1880 are 1, 2, 4, 5, 8, 10, 20, 40, 47, 94, 188, 235, 376, 470, 940, 1880. There are 16 integers that are factors of 1880. The greatest factor of 1880 is 1880.

4. How to Find the LCM of 1872 and 1880?

Answer:

Least Common Multiple of 1872 and 1880 = 439920

Step 1: Find the prime factorization of 1872

1872 = 2 x 2 x 2 x 2 x 3 x 3 x 13

Step 2: Find the prime factorization of 1880

1880 = 2 x 2 x 2 x 5 x 47

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

LCM = 439920 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 47

Step 4: Therefore, the least common multiple of 1872 and 1880 is 439920.