Least Common Multiple of 1876 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 1876 and 1882 the smallest integer that is 1765316 that is divisible by both numbers.

Least Common Multiple (LCM) of 1876 and 1882 is 1765316.

LCM(1876,1882) = 1765316

LCM of 1876 and 1882

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

LCM of:
and

Least Common Multiple of 1876 and 1882

LCM of 1876 and 1882 is 1765316

Least common multiple can be found by multiplying the highest exponent prime factors of 1876 and 1882. First we will calculate the prime factors of 1876 and 1882.

Prime Factorization of 1876


2 1876
2 938
7 469
67 67
1

Prime factors of 1876 are 2, 7,67. Prime factorization of 1876 in exponential form is:

1876 = 22×71×671

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 1876 and 1882.

LCM(1876,1882) = 22×71×671×9411
LCM(1876,1882) = 1765316

Factors of 1876

List of positive integer factors of 1876 that divides 1876 without a remainder.

1, 2, 4, 7, 14, 28, 67, 134, 268, 469, 938, 1876

Factors of 1882

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

1, 2, 941, 1882

Least Common Multiple of 1876 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 1876 and 1882, than apply into the LCM equation.

GCF(1876,1882) = 2
LCM(1876,1882) = ( 1876 × 1882) / 2
LCM(1876,1882) = 3530632 / 2
LCM(1876,1882) = 1765316

Properties of LCM 1876 and 1882

(i) The LCM of 1882 and 1876 is associative

LCM of 1876 and 1882 = LCM of 1882 and 1876

Related Least Common Multiples of 1876

Related Least Common Multiples of 1882

Frequently Asked Questions on LCM of 1876 and 1882

1. What is the LCM of 1876 and 1882?

Answer: LCM of 1876 and 1882 is 1765316.

2. What are the Factors of 1876?

Answer: Factors of 1876 are 1, 2, 4, 7, 14, 28, 67, 134, 268, 469, 938, 1876. There are 12 integers that are factors of 1876. The greatest factor of 1876 is 1876.

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 1876 and 1882?

Answer:

Least Common Multiple of 1876 and 1882 = 1765316

Step 1: Find the prime factorization of 1876

1876 = 2 x 2 x 7 x 67

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 = 1765316 = 2 x 2 x 7 x 67 x 941

Step 4: Therefore, the least common multiple of 1876 and 1882 is 1765316.