Least Common Multiple of 5898 and 5902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5898 and 5902 the smallest integer that is 17404998 that is divisible by both numbers.

Least Common Multiple (LCM) of 5898 and 5902 is 17404998.

LCM(5898,5902) = 17404998

LCM of 5898 and 5902

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

LCM of:
and

Least Common Multiple of 5898 and 5902

LCM of 5898 and 5902 is 17404998

Least common multiple can be found by multiplying the highest exponent prime factors of 5898 and 5902. First we will calculate the prime factors of 5898 and 5902.

Prime Factorization of 5898


2 5898
3 2949
983 983
1

Prime factors of 5898 are 2, 3,983. Prime factorization of 5898 in exponential form is:

5898 = 21×31×9831

Prime Factorization of 5902


2 5902
13 2951
227 227
1

Prime factors of 5902 are 2, 13,227. Prime factorization of 5902 in exponential form is:

5902 = 21×131×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 5898 and 5902.

LCM(5898,5902) = 21×31×131×2271×9831
LCM(5898,5902) = 17404998

Factors of 5898

List of positive integer factors of 5898 that divides 5898 without a remainder.

1, 2, 3, 6, 983, 1966, 2949, 5898

Factors of 5902

List of positive integer factors of 5902 that divides 5902 without a remainder.

1, 2, 13, 26, 227, 454, 2951, 5902

Least Common Multiple of 5898 and 5902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5898 and 5902, than apply into the LCM equation.

GCF(5898,5902) = 2
LCM(5898,5902) = ( 5898 × 5902) / 2
LCM(5898,5902) = 34809996 / 2
LCM(5898,5902) = 17404998

Properties of LCM 5898 and 5902

(i) The LCM of 5902 and 5898 is associative

LCM of 5898 and 5902 = LCM of 5902 and 5898

Related Least Common Multiples of 5898

Related Least Common Multiples of 5902

Frequently Asked Questions on LCM of 5898 and 5902

1. What is the LCM of 5898 and 5902?

Answer: LCM of 5898 and 5902 is 17404998.

2. What are the Factors of 5898?

Answer: Factors of 5898 are 1, 2, 3, 6, 983, 1966, 2949, 5898. There are 8 integers that are factors of 5898. The greatest factor of 5898 is 5898.

3. What are the Factors of 5902?

Answer: Factors of 5902 are 1, 2, 13, 26, 227, 454, 2951, 5902. There are 8 integers that are factors of 5902. The greatest factor of 5902 is 5902.

4. How to Find the LCM of 5898 and 5902?

Answer:

Least Common Multiple of 5898 and 5902 = 17404998

Step 1: Find the prime factorization of 5898

5898 = 2 x 3 x 983

Step 2: Find the prime factorization of 5902

5902 = 2 x 13 x 227

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

LCM = 17404998 = 2 x 3 x 13 x 227 x 983

Step 4: Therefore, the least common multiple of 5898 and 5902 is 17404998.