Least Common Multiple of 5871 and 5878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5871 and 5878 the smallest integer that is 34509738 that is divisible by both numbers.

Least Common Multiple (LCM) of 5871 and 5878 is 34509738.

LCM(5871,5878) = 34509738

LCM of 5871 and 5878

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

LCM of:
and

Least Common Multiple of 5871 and 5878

LCM of 5871 and 5878 is 34509738

Least common multiple can be found by multiplying the highest exponent prime factors of 5871 and 5878. First we will calculate the prime factors of 5871 and 5878.

Prime Factorization of 5871


3 5871
19 1957
103 103
1

Prime factors of 5871 are 3, 19,103. Prime factorization of 5871 in exponential form is:

5871 = 31×191×1031

Prime Factorization of 5878


2 5878
2939 2939
1

Prime factors of 5878 are 2,2939. Prime factorization of 5878 in exponential form is:

5878 = 21×29391

Now multiplying the highest exponent prime factors to calculate the LCM of 5871 and 5878.

LCM(5871,5878) = 21×31×191×1031×29391
LCM(5871,5878) = 34509738

Factors of 5871

List of positive integer factors of 5871 that divides 5871 without a remainder.

1, 3, 19, 57, 103, 309, 1957, 5871

Factors of 5878

List of positive integer factors of 5878 that divides 5878 without a remainder.

1, 2, 2939, 5878

Least Common Multiple of 5871 and 5878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5871 and 5878, than apply into the LCM equation.

GCF(5871,5878) = 1
LCM(5871,5878) = ( 5871 × 5878) / 1
LCM(5871,5878) = 34509738 / 1
LCM(5871,5878) = 34509738

Properties of LCM 5871 and 5878

(i) The LCM of 5878 and 5871 is associative

LCM of 5871 and 5878 = LCM of 5878 and 5871

Related Least Common Multiples of 5871

Related Least Common Multiples of 5878

Frequently Asked Questions on LCM of 5871 and 5878

1. What is the LCM of 5871 and 5878?

Answer: LCM of 5871 and 5878 is 34509738.

2. What are the Factors of 5871?

Answer: Factors of 5871 are 1, 3, 19, 57, 103, 309, 1957, 5871. There are 8 integers that are factors of 5871. The greatest factor of 5871 is 5871.

3. What are the Factors of 5878?

Answer: Factors of 5878 are 1, 2, 2939, 5878. There are 4 integers that are factors of 5878. The greatest factor of 5878 is 5878.

4. How to Find the LCM of 5871 and 5878?

Answer:

Least Common Multiple of 5871 and 5878 = 34509738

Step 1: Find the prime factorization of 5871

5871 = 3 x 19 x 103

Step 2: Find the prime factorization of 5878

5878 = 2 x 2939

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

LCM = 34509738 = 2 x 3 x 19 x 103 x 2939

Step 4: Therefore, the least common multiple of 5871 and 5878 is 34509738.