Least Common Multiple of 1874 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 1874 and 1880 the smallest integer that is 1761560 that is divisible by both numbers.

Least Common Multiple (LCM) of 1874 and 1880 is 1761560.

LCM(1874,1880) = 1761560

LCM of 1874 and 1880

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

LCM of:
and

Least Common Multiple of 1874 and 1880

LCM of 1874 and 1880 is 1761560

Least common multiple can be found by multiplying the highest exponent prime factors of 1874 and 1880. First we will calculate the prime factors of 1874 and 1880.

Prime Factorization of 1874


2 1874
937 937
1

Prime factors of 1874 are 2,937. Prime factorization of 1874 in exponential form is:

1874 = 21×9371

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 1874 and 1880.

LCM(1874,1880) = 23×51×471×9371
LCM(1874,1880) = 1761560

Factors of 1874

List of positive integer factors of 1874 that divides 1874 without a remainder.

1, 2, 937, 1874

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 1874 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 1874 and 1880, than apply into the LCM equation.

GCF(1874,1880) = 2
LCM(1874,1880) = ( 1874 × 1880) / 2
LCM(1874,1880) = 3523120 / 2
LCM(1874,1880) = 1761560

Properties of LCM 1874 and 1880

(i) The LCM of 1880 and 1874 is associative

LCM of 1874 and 1880 = LCM of 1880 and 1874

Related Least Common Multiples of 1874

Related Least Common Multiples of 1880

Frequently Asked Questions on LCM of 1874 and 1880

1. What is the LCM of 1874 and 1880?

Answer: LCM of 1874 and 1880 is 1761560.

2. What are the Factors of 1874?

Answer: Factors of 1874 are 1, 2, 937, 1874. There are 4 integers that are factors of 1874. The greatest factor of 1874 is 1874.

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 1874 and 1880?

Answer:

Least Common Multiple of 1874 and 1880 = 1761560

Step 1: Find the prime factorization of 1874

1874 = 2 x 937

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 = 1761560 = 2 x 2 x 2 x 5 x 47 x 937

Step 4: Therefore, the least common multiple of 1874 and 1880 is 1761560.