Least Common Multiple of 5874 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 5874 and 5876 the smallest integer that is 17257812 that is divisible by both numbers.

Least Common Multiple (LCM) of 5874 and 5876 is 17257812.

LCM(5874,5876) = 17257812

LCM of 5874 and 5876

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

LCM of:
and

Least Common Multiple of 5874 and 5876

LCM of 5874 and 5876 is 17257812

Least common multiple can be found by multiplying the highest exponent prime factors of 5874 and 5876. First we will calculate the prime factors of 5874 and 5876.

Prime Factorization of 5874


2 5874
3 2937
11 979
89 89
1

Prime factors of 5874 are 2, 3, 11,89. Prime factorization of 5874 in exponential form is:

5874 = 21×31×111×891

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 5874 and 5876.

LCM(5874,5876) = 22×31×111×131×891×1131
LCM(5874,5876) = 17257812

Factors of 5874

List of positive integer factors of 5874 that divides 5874 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 89, 178, 267, 534, 979, 1958, 2937, 5874

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 5874 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 5874 and 5876, than apply into the LCM equation.

GCF(5874,5876) = 2
LCM(5874,5876) = ( 5874 × 5876) / 2
LCM(5874,5876) = 34515624 / 2
LCM(5874,5876) = 17257812

Properties of LCM 5874 and 5876

(i) The LCM of 5876 and 5874 is associative

LCM of 5874 and 5876 = LCM of 5876 and 5874

Related Least Common Multiples of 5874

Related Least Common Multiples of 5876

Frequently Asked Questions on LCM of 5874 and 5876

1. What is the LCM of 5874 and 5876?

Answer: LCM of 5874 and 5876 is 17257812.

2. What are the Factors of 5874?

Answer: Factors of 5874 are 1, 2, 3, 6, 11, 22, 33, 66, 89, 178, 267, 534, 979, 1958, 2937, 5874. There are 16 integers that are factors of 5874. The greatest factor of 5874 is 5874.

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 5874 and 5876?

Answer:

Least Common Multiple of 5874 and 5876 = 17257812

Step 1: Find the prime factorization of 5874

5874 = 2 x 3 x 11 x 89

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 = 17257812 = 2 x 2 x 3 x 11 x 13 x 89 x 113

Step 4: Therefore, the least common multiple of 5874 and 5876 is 17257812.