Least Common Multiple of 5911 and 5918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5911 and 5918 the smallest integer that is 34981298 that is divisible by both numbers.

Least Common Multiple (LCM) of 5911 and 5918 is 34981298.

LCM(5911,5918) = 34981298

LCM of 5911 and 5918

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

LCM of:
and

Least Common Multiple of 5911 and 5918

LCM of 5911 and 5918 is 34981298

Least common multiple can be found by multiplying the highest exponent prime factors of 5911 and 5918. First we will calculate the prime factors of 5911 and 5918.

Prime Factorization of 5911


23 5911
257 257
1

Prime factors of 5911 are 23,257. Prime factorization of 5911 in exponential form is:

5911 = 231×2571

Prime Factorization of 5918


2 5918
11 2959
269 269
1

Prime factors of 5918 are 2, 11,269. Prime factorization of 5918 in exponential form is:

5918 = 21×111×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 5911 and 5918.

LCM(5911,5918) = 21×111×231×2571×2691
LCM(5911,5918) = 34981298

Factors of 5911

List of positive integer factors of 5911 that divides 5911 without a remainder.

1, 23, 257, 5911

Factors of 5918

List of positive integer factors of 5918 that divides 5918 without a remainder.

1, 2, 11, 22, 269, 538, 2959, 5918

Least Common Multiple of 5911 and 5918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5911 and 5918, than apply into the LCM equation.

GCF(5911,5918) = 1
LCM(5911,5918) = ( 5911 × 5918) / 1
LCM(5911,5918) = 34981298 / 1
LCM(5911,5918) = 34981298

Properties of LCM 5911 and 5918

(i) The LCM of 5918 and 5911 is associative

LCM of 5911 and 5918 = LCM of 5918 and 5911

Related Least Common Multiples of 5911

Related Least Common Multiples of 5918

Frequently Asked Questions on LCM of 5911 and 5918

1. What is the LCM of 5911 and 5918?

Answer: LCM of 5911 and 5918 is 34981298.

2. What are the Factors of 5911?

Answer: Factors of 5911 are 1, 23, 257, 5911. There are 4 integers that are factors of 5911. The greatest factor of 5911 is 5911.

3. What are the Factors of 5918?

Answer: Factors of 5918 are 1, 2, 11, 22, 269, 538, 2959, 5918. There are 8 integers that are factors of 5918. The greatest factor of 5918 is 5918.

4. How to Find the LCM of 5911 and 5918?

Answer:

Least Common Multiple of 5911 and 5918 = 34981298

Step 1: Find the prime factorization of 5911

5911 = 23 x 257

Step 2: Find the prime factorization of 5918

5918 = 2 x 11 x 269

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

LCM = 34981298 = 2 x 11 x 23 x 257 x 269

Step 4: Therefore, the least common multiple of 5911 and 5918 is 34981298.