Least Common Multiple of 5918 and 5926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5918 and 5926 the smallest integer that is 17535034 that is divisible by both numbers.

Least Common Multiple (LCM) of 5918 and 5926 is 17535034.

LCM(5918,5926) = 17535034

LCM of 5918 and 5926

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

LCM of:
and

Least Common Multiple of 5918 and 5926

LCM of 5918 and 5926 is 17535034

Least common multiple can be found by multiplying the highest exponent prime factors of 5918 and 5926. First we will calculate the prime factors of 5918 and 5926.

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

Prime Factorization of 5926


2 5926
2963 2963
1

Prime factors of 5926 are 2,2963. Prime factorization of 5926 in exponential form is:

5926 = 21×29631

Now multiplying the highest exponent prime factors to calculate the LCM of 5918 and 5926.

LCM(5918,5926) = 21×111×2691×29631
LCM(5918,5926) = 17535034

Factors of 5918

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

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

Factors of 5926

List of positive integer factors of 5926 that divides 5926 without a remainder.

1, 2, 2963, 5926

Least Common Multiple of 5918 and 5926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5918 and 5926, than apply into the LCM equation.

GCF(5918,5926) = 2
LCM(5918,5926) = ( 5918 × 5926) / 2
LCM(5918,5926) = 35070068 / 2
LCM(5918,5926) = 17535034

Properties of LCM 5918 and 5926

(i) The LCM of 5926 and 5918 is associative

LCM of 5918 and 5926 = LCM of 5926 and 5918

Related Least Common Multiples of 5918

Related Least Common Multiples of 5926

Frequently Asked Questions on LCM of 5918 and 5926

1. What is the LCM of 5918 and 5926?

Answer: LCM of 5918 and 5926 is 17535034.

2. 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.

3. What are the Factors of 5926?

Answer: Factors of 5926 are 1, 2, 2963, 5926. There are 4 integers that are factors of 5926. The greatest factor of 5926 is 5926.

4. How to Find the LCM of 5918 and 5926?

Answer:

Least Common Multiple of 5918 and 5926 = 17535034

Step 1: Find the prime factorization of 5918

5918 = 2 x 11 x 269

Step 2: Find the prime factorization of 5926

5926 = 2 x 2963

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

LCM = 17535034 = 2 x 11 x 269 x 2963

Step 4: Therefore, the least common multiple of 5918 and 5926 is 17535034.