Least Common Multiple of 1871 and 1878

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 1878 the smallest integer that is 3513738 that is divisible by both numbers.

Least Common Multiple (LCM) of 1871 and 1878 is 3513738.

LCM(1871,1878) = 3513738

LCM of 1871 and 1878

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

LCM of:
and

Least Common Multiple of 1871 and 1878

LCM of 1871 and 1878 is 3513738

Least common multiple can be found by multiplying the highest exponent prime factors of 1871 and 1878. First we will calculate the prime factors of 1871 and 1878.

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 1878


2 1878
3 939
313 313
1

Prime factors of 1878 are 2, 3,313. Prime factorization of 1878 in exponential form is:

1878 = 21×31×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 1871 and 1878.

LCM(1871,1878) = 21×31×3131×18711
LCM(1871,1878) = 3513738

Factors of 1871

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

1, 1871

Factors of 1878

List of positive integer factors of 1878 that divides 1878 without a remainder.

1, 2, 3, 6, 313, 626, 939, 1878

Least Common Multiple of 1871 and 1878 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 1878, than apply into the LCM equation.

GCF(1871,1878) = 1
LCM(1871,1878) = ( 1871 × 1878) / 1
LCM(1871,1878) = 3513738 / 1
LCM(1871,1878) = 3513738

Properties of LCM 1871 and 1878

(i) The LCM of 1878 and 1871 is associative

LCM of 1871 and 1878 = LCM of 1878 and 1871

Related Least Common Multiples of 1871

Related Least Common Multiples of 1878

Frequently Asked Questions on LCM of 1871 and 1878

1. What is the LCM of 1871 and 1878?

Answer: LCM of 1871 and 1878 is 3513738.

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 1878?

Answer: Factors of 1878 are 1, 2, 3, 6, 313, 626, 939, 1878. There are 8 integers that are factors of 1878. The greatest factor of 1878 is 1878.

4. How to Find the LCM of 1871 and 1878?

Answer:

Least Common Multiple of 1871 and 1878 = 3513738

Step 1: Find the prime factorization of 1871

1871 = 1871

Step 2: Find the prime factorization of 1878

1878 = 2 x 3 x 313

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

LCM = 3513738 = 2 x 3 x 313 x 1871

Step 4: Therefore, the least common multiple of 1871 and 1878 is 3513738.