Least Common Multiple of 5933 and 5938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5933 and 5938 the smallest integer that is 35230154 that is divisible by both numbers.

Least Common Multiple (LCM) of 5933 and 5938 is 35230154.

LCM(5933,5938) = 35230154

LCM of 5933 and 5938

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

LCM of:
and

Least Common Multiple of 5933 and 5938

LCM of 5933 and 5938 is 35230154

Least common multiple can be found by multiplying the highest exponent prime factors of 5933 and 5938. First we will calculate the prime factors of 5933 and 5938.

Prime Factorization of 5933


17 5933
349 349
1

Prime factors of 5933 are 17,349. Prime factorization of 5933 in exponential form is:

5933 = 171×3491

Prime Factorization of 5938


2 5938
2969 2969
1

Prime factors of 5938 are 2,2969. Prime factorization of 5938 in exponential form is:

5938 = 21×29691

Now multiplying the highest exponent prime factors to calculate the LCM of 5933 and 5938.

LCM(5933,5938) = 21×171×3491×29691
LCM(5933,5938) = 35230154

Factors of 5933

List of positive integer factors of 5933 that divides 5933 without a remainder.

1, 17, 349, 5933

Factors of 5938

List of positive integer factors of 5938 that divides 5938 without a remainder.

1, 2, 2969, 5938

Least Common Multiple of 5933 and 5938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5933 and 5938, than apply into the LCM equation.

GCF(5933,5938) = 1
LCM(5933,5938) = ( 5933 × 5938) / 1
LCM(5933,5938) = 35230154 / 1
LCM(5933,5938) = 35230154

Properties of LCM 5933 and 5938

(i) The LCM of 5938 and 5933 is associative

LCM of 5933 and 5938 = LCM of 5938 and 5933

Related Least Common Multiples of 5933

Related Least Common Multiples of 5938

Frequently Asked Questions on LCM of 5933 and 5938

1. What is the LCM of 5933 and 5938?

Answer: LCM of 5933 and 5938 is 35230154.

2. What are the Factors of 5933?

Answer: Factors of 5933 are 1, 17, 349, 5933. There are 4 integers that are factors of 5933. The greatest factor of 5933 is 5933.

3. What are the Factors of 5938?

Answer: Factors of 5938 are 1, 2, 2969, 5938. There are 4 integers that are factors of 5938. The greatest factor of 5938 is 5938.

4. How to Find the LCM of 5933 and 5938?

Answer:

Least Common Multiple of 5933 and 5938 = 35230154

Step 1: Find the prime factorization of 5933

5933 = 17 x 349

Step 2: Find the prime factorization of 5938

5938 = 2 x 2969

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

LCM = 35230154 = 2 x 17 x 349 x 2969

Step 4: Therefore, the least common multiple of 5933 and 5938 is 35230154.