Least Common Multiple of 1874 and 1882

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 1882 the smallest integer that is 1763434 that is divisible by both numbers.

Least Common Multiple (LCM) of 1874 and 1882 is 1763434.

LCM(1874,1882) = 1763434

LCM of 1874 and 1882

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

LCM of:
and

Least Common Multiple of 1874 and 1882

LCM of 1874 and 1882 is 1763434

Least common multiple can be found by multiplying the highest exponent prime factors of 1874 and 1882. First we will calculate the prime factors of 1874 and 1882.

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 1882


2 1882
941 941
1

Prime factors of 1882 are 2,941. Prime factorization of 1882 in exponential form is:

1882 = 21×9411

Now multiplying the highest exponent prime factors to calculate the LCM of 1874 and 1882.

LCM(1874,1882) = 21×9371×9411
LCM(1874,1882) = 1763434

Factors of 1874

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

1, 2, 937, 1874

Factors of 1882

List of positive integer factors of 1882 that divides 1882 without a remainder.

1, 2, 941, 1882

Least Common Multiple of 1874 and 1882 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 1882, than apply into the LCM equation.

GCF(1874,1882) = 2
LCM(1874,1882) = ( 1874 × 1882) / 2
LCM(1874,1882) = 3526868 / 2
LCM(1874,1882) = 1763434

Properties of LCM 1874 and 1882

(i) The LCM of 1882 and 1874 is associative

LCM of 1874 and 1882 = LCM of 1882 and 1874

Related Least Common Multiples of 1874

Related Least Common Multiples of 1882

Frequently Asked Questions on LCM of 1874 and 1882

1. What is the LCM of 1874 and 1882?

Answer: LCM of 1874 and 1882 is 1763434.

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 1882?

Answer: Factors of 1882 are 1, 2, 941, 1882. There are 4 integers that are factors of 1882. The greatest factor of 1882 is 1882.

4. How to Find the LCM of 1874 and 1882?

Answer:

Least Common Multiple of 1874 and 1882 = 1763434

Step 1: Find the prime factorization of 1874

1874 = 2 x 937

Step 2: Find the prime factorization of 1882

1882 = 2 x 941

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

LCM = 1763434 = 2 x 937 x 941

Step 4: Therefore, the least common multiple of 1874 and 1882 is 1763434.