Least Common Multiple of 1871 and 1876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1871 and 1876 the smallest integer that is 3509996 that is divisible by both numbers.

Least Common Multiple (LCM) of 1871 and 1876 is 3509996.

LCM(1871,1876) = 3509996

LCM of 1871 and 1876

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

LCM of:
and

Least Common Multiple of 1871 and 1876

LCM of 1871 and 1876 is 3509996

Least common multiple can be found by multiplying the highest exponent prime factors of 1871 and 1876. First we will calculate the prime factors of 1871 and 1876.

Prime Factorization of 1871


1871 1871
1

Prime factors of 1871 are 1871. Prime factorization of 1871 in exponential form is:

1871 = 18711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1871 and 1876.

LCM(1871,1876) = 22×71×671×18711
LCM(1871,1876) = 3509996

Factors of 1871

List of positive integer factors of 1871 that divides 1871 without a remainder.

1, 1871

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

Least Common Multiple of 1871 and 1876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1871 and 1876, than apply into the LCM equation.

GCF(1871,1876) = 1
LCM(1871,1876) = ( 1871 × 1876) / 1
LCM(1871,1876) = 3509996 / 1
LCM(1871,1876) = 3509996

Properties of LCM 1871 and 1876

(i) The LCM of 1876 and 1871 is associative

LCM of 1871 and 1876 = LCM of 1876 and 1871

Related Least Common Multiples of 1871

Related Least Common Multiples of 1876

Frequently Asked Questions on LCM of 1871 and 1876

1. What is the LCM of 1871 and 1876?

Answer: LCM of 1871 and 1876 is 3509996.

2. What are the Factors of 1871?

Answer: Factors of 1871 are 1, 1871. There are 2 integers that are factors of 1871. The greatest factor of 1871 is 1871.

3. 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.

4. How to Find the LCM of 1871 and 1876?

Answer:

Least Common Multiple of 1871 and 1876 = 3509996

Step 1: Find the prime factorization of 1871

1871 = 1871

Step 2: Find the prime factorization of 1876

1876 = 2 x 2 x 7 x 67

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

LCM = 3509996 = 2 x 2 x 7 x 67 x 1871

Step 4: Therefore, the least common multiple of 1871 and 1876 is 3509996.