Least Common Multiple of 5874 and 5875

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 5875 the smallest integer that is 34509750 that is divisible by both numbers.

Least Common Multiple (LCM) of 5874 and 5875 is 34509750.

LCM(5874,5875) = 34509750

LCM of 5874 and 5875

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

LCM of:
and

Least Common Multiple of 5874 and 5875

LCM of 5874 and 5875 is 34509750

Least common multiple can be found by multiplying the highest exponent prime factors of 5874 and 5875. First we will calculate the prime factors of 5874 and 5875.

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 5875


5 5875
5 1175
5 235
47 47
1

Prime factors of 5875 are 5,47. Prime factorization of 5875 in exponential form is:

5875 = 53×471

Now multiplying the highest exponent prime factors to calculate the LCM of 5874 and 5875.

LCM(5874,5875) = 21×31×53×111×471×891
LCM(5874,5875) = 34509750

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 5875

List of positive integer factors of 5875 that divides 5875 without a remainder.

1, 5, 25, 47, 125, 235, 1175, 5875

Least Common Multiple of 5874 and 5875 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 5875, than apply into the LCM equation.

GCF(5874,5875) = 1
LCM(5874,5875) = ( 5874 × 5875) / 1
LCM(5874,5875) = 34509750 / 1
LCM(5874,5875) = 34509750

Properties of LCM 5874 and 5875

(i) The LCM of 5875 and 5874 is associative

LCM of 5874 and 5875 = LCM of 5875 and 5874

Related Least Common Multiples of 5874

Related Least Common Multiples of 5875

Frequently Asked Questions on LCM of 5874 and 5875

1. What is the LCM of 5874 and 5875?

Answer: LCM of 5874 and 5875 is 34509750.

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 5875?

Answer: Factors of 5875 are 1, 5, 25, 47, 125, 235, 1175, 5875. There are 8 integers that are factors of 5875. The greatest factor of 5875 is 5875.

4. How to Find the LCM of 5874 and 5875?

Answer:

Least Common Multiple of 5874 and 5875 = 34509750

Step 1: Find the prime factorization of 5874

5874 = 2 x 3 x 11 x 89

Step 2: Find the prime factorization of 5875

5875 = 5 x 5 x 5 x 47

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

LCM = 34509750 = 2 x 3 x 5 x 5 x 5 x 11 x 47 x 89

Step 4: Therefore, the least common multiple of 5874 and 5875 is 34509750.