Least Common Multiple of 5918 and 5921

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 5921 the smallest integer that is 35040478 that is divisible by both numbers.

Least Common Multiple (LCM) of 5918 and 5921 is 35040478.

LCM(5918,5921) = 35040478

LCM of 5918 and 5921

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

LCM of:
and

Least Common Multiple of 5918 and 5921

LCM of 5918 and 5921 is 35040478

Least common multiple can be found by multiplying the highest exponent prime factors of 5918 and 5921. First we will calculate the prime factors of 5918 and 5921.

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 5921


31 5921
191 191
1

Prime factors of 5921 are 31,191. Prime factorization of 5921 in exponential form is:

5921 = 311×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 5918 and 5921.

LCM(5918,5921) = 21×111×311×1911×2691
LCM(5918,5921) = 35040478

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 5921

List of positive integer factors of 5921 that divides 5921 without a remainder.

1, 31, 191, 5921

Least Common Multiple of 5918 and 5921 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 5921, than apply into the LCM equation.

GCF(5918,5921) = 1
LCM(5918,5921) = ( 5918 × 5921) / 1
LCM(5918,5921) = 35040478 / 1
LCM(5918,5921) = 35040478

Properties of LCM 5918 and 5921

(i) The LCM of 5921 and 5918 is associative

LCM of 5918 and 5921 = LCM of 5921 and 5918

Related Least Common Multiples of 5918

Related Least Common Multiples of 5921

Frequently Asked Questions on LCM of 5918 and 5921

1. What is the LCM of 5918 and 5921?

Answer: LCM of 5918 and 5921 is 35040478.

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 5921?

Answer: Factors of 5921 are 1, 31, 191, 5921. There are 4 integers that are factors of 5921. The greatest factor of 5921 is 5921.

4. How to Find the LCM of 5918 and 5921?

Answer:

Least Common Multiple of 5918 and 5921 = 35040478

Step 1: Find the prime factorization of 5918

5918 = 2 x 11 x 269

Step 2: Find the prime factorization of 5921

5921 = 31 x 191

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

LCM = 35040478 = 2 x 11 x 31 x 191 x 269

Step 4: Therefore, the least common multiple of 5918 and 5921 is 35040478.