Least Common Multiple of 5878 and 5884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5878 and 5884 the smallest integer that is 17293076 that is divisible by both numbers.

Least Common Multiple (LCM) of 5878 and 5884 is 17293076.

LCM(5878,5884) = 17293076

LCM of 5878 and 5884

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

LCM of:
and

Least Common Multiple of 5878 and 5884

LCM of 5878 and 5884 is 17293076

Least common multiple can be found by multiplying the highest exponent prime factors of 5878 and 5884. First we will calculate the prime factors of 5878 and 5884.

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

Prime Factorization of 5884


2 5884
2 2942
1471 1471
1

Prime factors of 5884 are 2,1471. Prime factorization of 5884 in exponential form is:

5884 = 22×14711

Now multiplying the highest exponent prime factors to calculate the LCM of 5878 and 5884.

LCM(5878,5884) = 22×14711×29391
LCM(5878,5884) = 17293076

Factors of 5878

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

1, 2, 2939, 5878

Factors of 5884

List of positive integer factors of 5884 that divides 5884 without a remainder.

1, 2, 4, 1471, 2942, 5884

Least Common Multiple of 5878 and 5884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5878 and 5884, than apply into the LCM equation.

GCF(5878,5884) = 2
LCM(5878,5884) = ( 5878 × 5884) / 2
LCM(5878,5884) = 34586152 / 2
LCM(5878,5884) = 17293076

Properties of LCM 5878 and 5884

(i) The LCM of 5884 and 5878 is associative

LCM of 5878 and 5884 = LCM of 5884 and 5878

Related Least Common Multiples of 5878

Related Least Common Multiples of 5884

Frequently Asked Questions on LCM of 5878 and 5884

1. What is the LCM of 5878 and 5884?

Answer: LCM of 5878 and 5884 is 17293076.

2. 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.

3. What are the Factors of 5884?

Answer: Factors of 5884 are 1, 2, 4, 1471, 2942, 5884. There are 6 integers that are factors of 5884. The greatest factor of 5884 is 5884.

4. How to Find the LCM of 5878 and 5884?

Answer:

Least Common Multiple of 5878 and 5884 = 17293076

Step 1: Find the prime factorization of 5878

5878 = 2 x 2939

Step 2: Find the prime factorization of 5884

5884 = 2 x 2 x 1471

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

LCM = 17293076 = 2 x 2 x 1471 x 2939

Step 4: Therefore, the least common multiple of 5878 and 5884 is 17293076.