Least Common Multiple of 5874 and 5879

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 5879 the smallest integer that is 34533246 that is divisible by both numbers.

Least Common Multiple (LCM) of 5874 and 5879 is 34533246.

LCM(5874,5879) = 34533246

LCM of 5874 and 5879

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

LCM of:
and

Least Common Multiple of 5874 and 5879

LCM of 5874 and 5879 is 34533246

Least common multiple can be found by multiplying the highest exponent prime factors of 5874 and 5879. First we will calculate the prime factors of 5874 and 5879.

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 5879


5879 5879
1

Prime factors of 5879 are 5879. Prime factorization of 5879 in exponential form is:

5879 = 58791

Now multiplying the highest exponent prime factors to calculate the LCM of 5874 and 5879.

LCM(5874,5879) = 21×31×111×891×58791
LCM(5874,5879) = 34533246

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 5879

List of positive integer factors of 5879 that divides 5879 without a remainder.

1, 5879

Least Common Multiple of 5874 and 5879 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 5879, than apply into the LCM equation.

GCF(5874,5879) = 1
LCM(5874,5879) = ( 5874 × 5879) / 1
LCM(5874,5879) = 34533246 / 1
LCM(5874,5879) = 34533246

Properties of LCM 5874 and 5879

(i) The LCM of 5879 and 5874 is associative

LCM of 5874 and 5879 = LCM of 5879 and 5874

Related Least Common Multiples of 5874

Related Least Common Multiples of 5879

Frequently Asked Questions on LCM of 5874 and 5879

1. What is the LCM of 5874 and 5879?

Answer: LCM of 5874 and 5879 is 34533246.

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 5879?

Answer: Factors of 5879 are 1, 5879. There are 2 integers that are factors of 5879. The greatest factor of 5879 is 5879.

4. How to Find the LCM of 5874 and 5879?

Answer:

Least Common Multiple of 5874 and 5879 = 34533246

Step 1: Find the prime factorization of 5874

5874 = 2 x 3 x 11 x 89

Step 2: Find the prime factorization of 5879

5879 = 5879

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

LCM = 34533246 = 2 x 3 x 11 x 89 x 5879

Step 4: Therefore, the least common multiple of 5874 and 5879 is 34533246.