Least Common Multiple of 5902 and 5910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5902 and 5910 the smallest integer that is 17440410 that is divisible by both numbers.

Least Common Multiple (LCM) of 5902 and 5910 is 17440410.

LCM(5902,5910) = 17440410

LCM of 5902 and 5910

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

LCM of:
and

Least Common Multiple of 5902 and 5910

LCM of 5902 and 5910 is 17440410

Least common multiple can be found by multiplying the highest exponent prime factors of 5902 and 5910. First we will calculate the prime factors of 5902 and 5910.

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

Prime Factorization of 5910


2 5910
3 2955
5 985
197 197
1

Prime factors of 5910 are 2, 3, 5,197. Prime factorization of 5910 in exponential form is:

5910 = 21×31×51×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 5902 and 5910.

LCM(5902,5910) = 21×31×51×131×1971×2271
LCM(5902,5910) = 17440410

Factors of 5902

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

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

Factors of 5910

List of positive integer factors of 5910 that divides 5910 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 197, 394, 591, 985, 1182, 1970, 2955, 5910

Least Common Multiple of 5902 and 5910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5902 and 5910, than apply into the LCM equation.

GCF(5902,5910) = 2
LCM(5902,5910) = ( 5902 × 5910) / 2
LCM(5902,5910) = 34880820 / 2
LCM(5902,5910) = 17440410

Properties of LCM 5902 and 5910

(i) The LCM of 5910 and 5902 is associative

LCM of 5902 and 5910 = LCM of 5910 and 5902

Related Least Common Multiples of 5902

Related Least Common Multiples of 5910

Frequently Asked Questions on LCM of 5902 and 5910

1. What is the LCM of 5902 and 5910?

Answer: LCM of 5902 and 5910 is 17440410.

2. 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.

3. What are the Factors of 5910?

Answer: Factors of 5910 are 1, 2, 3, 5, 6, 10, 15, 30, 197, 394, 591, 985, 1182, 1970, 2955, 5910. There are 16 integers that are factors of 5910. The greatest factor of 5910 is 5910.

4. How to Find the LCM of 5902 and 5910?

Answer:

Least Common Multiple of 5902 and 5910 = 17440410

Step 1: Find the prime factorization of 5902

5902 = 2 x 13 x 227

Step 2: Find the prime factorization of 5910

5910 = 2 x 3 x 5 x 197

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

LCM = 17440410 = 2 x 3 x 5 x 13 x 197 x 227

Step 4: Therefore, the least common multiple of 5902 and 5910 is 17440410.