Least Common Multiple of 5874 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 5874 and 5878 the smallest integer that is 17263686 that is divisible by both numbers.

Least Common Multiple (LCM) of 5874 and 5878 is 17263686.

LCM(5874,5878) = 17263686

LCM of 5874 and 5878

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

LCM of:
and

Least Common Multiple of 5874 and 5878

LCM of 5874 and 5878 is 17263686

Least common multiple can be found by multiplying the highest exponent prime factors of 5874 and 5878. First we will calculate the prime factors of 5874 and 5878.

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 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 5874 and 5878.

LCM(5874,5878) = 21×31×111×891×29391
LCM(5874,5878) = 17263686

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 5878

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

1, 2, 2939, 5878

Least Common Multiple of 5874 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 5874 and 5878, than apply into the LCM equation.

GCF(5874,5878) = 2
LCM(5874,5878) = ( 5874 × 5878) / 2
LCM(5874,5878) = 34527372 / 2
LCM(5874,5878) = 17263686

Properties of LCM 5874 and 5878

(i) The LCM of 5878 and 5874 is associative

LCM of 5874 and 5878 = LCM of 5878 and 5874

Related Least Common Multiples of 5874

Related Least Common Multiples of 5878

Frequently Asked Questions on LCM of 5874 and 5878

1. What is the LCM of 5874 and 5878?

Answer: LCM of 5874 and 5878 is 17263686.

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 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 5874 and 5878?

Answer:

Least Common Multiple of 5874 and 5878 = 17263686

Step 1: Find the prime factorization of 5874

5874 = 2 x 3 x 11 x 89

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 = 17263686 = 2 x 3 x 11 x 89 x 2939

Step 4: Therefore, the least common multiple of 5874 and 5878 is 17263686.