Least Common Multiple of 5871 and 5876

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 5876 the smallest integer that is 34497996 that is divisible by both numbers.

Least Common Multiple (LCM) of 5871 and 5876 is 34497996.

LCM(5871,5876) = 34497996

LCM of 5871 and 5876

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

LCM of:
and

Least Common Multiple of 5871 and 5876

LCM of 5871 and 5876 is 34497996

Least common multiple can be found by multiplying the highest exponent prime factors of 5871 and 5876. First we will calculate the prime factors of 5871 and 5876.

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 5876


2 5876
2 2938
13 1469
113 113
1

Prime factors of 5876 are 2, 13,113. Prime factorization of 5876 in exponential form is:

5876 = 22×131×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 5871 and 5876.

LCM(5871,5876) = 22×31×131×191×1031×1131
LCM(5871,5876) = 34497996

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 5876

List of positive integer factors of 5876 that divides 5876 without a remainder.

1, 2, 4, 13, 26, 52, 113, 226, 452, 1469, 2938, 5876

Least Common Multiple of 5871 and 5876 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 5876, than apply into the LCM equation.

GCF(5871,5876) = 1
LCM(5871,5876) = ( 5871 × 5876) / 1
LCM(5871,5876) = 34497996 / 1
LCM(5871,5876) = 34497996

Properties of LCM 5871 and 5876

(i) The LCM of 5876 and 5871 is associative

LCM of 5871 and 5876 = LCM of 5876 and 5871

Related Least Common Multiples of 5871

Related Least Common Multiples of 5876

Frequently Asked Questions on LCM of 5871 and 5876

1. What is the LCM of 5871 and 5876?

Answer: LCM of 5871 and 5876 is 34497996.

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 5876?

Answer: Factors of 5876 are 1, 2, 4, 13, 26, 52, 113, 226, 452, 1469, 2938, 5876. There are 12 integers that are factors of 5876. The greatest factor of 5876 is 5876.

4. How to Find the LCM of 5871 and 5876?

Answer:

Least Common Multiple of 5871 and 5876 = 34497996

Step 1: Find the prime factorization of 5871

5871 = 3 x 19 x 103

Step 2: Find the prime factorization of 5876

5876 = 2 x 2 x 13 x 113

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

LCM = 34497996 = 2 x 2 x 3 x 13 x 19 x 103 x 113

Step 4: Therefore, the least common multiple of 5871 and 5876 is 34497996.