Least Common Multiple of 1880 and 1881

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1880 and 1881 the smallest integer that is 3536280 that is divisible by both numbers.

Least Common Multiple (LCM) of 1880 and 1881 is 3536280.

LCM(1880,1881) = 3536280

LCM of 1880 and 1881

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

LCM of:
and

Least Common Multiple of 1880 and 1881

LCM of 1880 and 1881 is 3536280

Least common multiple can be found by multiplying the highest exponent prime factors of 1880 and 1881. First we will calculate the prime factors of 1880 and 1881.

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

Prime Factorization of 1881


3 1881
3 627
11 209
19 19
1

Prime factors of 1881 are 3, 11,19. Prime factorization of 1881 in exponential form is:

1881 = 32×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1880 and 1881.

LCM(1880,1881) = 23×32×51×111×191×471
LCM(1880,1881) = 3536280

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

Factors of 1881

List of positive integer factors of 1881 that divides 1881 without a remainder.

1, 3, 9, 11, 19, 33, 57, 99, 171, 209, 627, 1881

Least Common Multiple of 1880 and 1881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1880 and 1881, than apply into the LCM equation.

GCF(1880,1881) = 1
LCM(1880,1881) = ( 1880 × 1881) / 1
LCM(1880,1881) = 3536280 / 1
LCM(1880,1881) = 3536280

Properties of LCM 1880 and 1881

(i) The LCM of 1881 and 1880 is associative

LCM of 1880 and 1881 = LCM of 1881 and 1880

Related Least Common Multiples of 1880

Related Least Common Multiples of 1881

Frequently Asked Questions on LCM of 1880 and 1881

1. What is the LCM of 1880 and 1881?

Answer: LCM of 1880 and 1881 is 3536280.

2. 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.

3. What are the Factors of 1881?

Answer: Factors of 1881 are 1, 3, 9, 11, 19, 33, 57, 99, 171, 209, 627, 1881. There are 12 integers that are factors of 1881. The greatest factor of 1881 is 1881.

4. How to Find the LCM of 1880 and 1881?

Answer:

Least Common Multiple of 1880 and 1881 = 3536280

Step 1: Find the prime factorization of 1880

1880 = 2 x 2 x 2 x 5 x 47

Step 2: Find the prime factorization of 1881

1881 = 3 x 3 x 11 x 19

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

LCM = 3536280 = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 19 x 47

Step 4: Therefore, the least common multiple of 1880 and 1881 is 3536280.