Least Common Multiple of 5939 and 5947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5939 and 5947 the smallest integer that is 35319233 that is divisible by both numbers.

Least Common Multiple (LCM) of 5939 and 5947 is 35319233.

LCM(5939,5947) = 35319233

LCM of 5939 and 5947

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

LCM of:
and

Least Common Multiple of 5939 and 5947

LCM of 5939 and 5947 is 35319233

Least common multiple can be found by multiplying the highest exponent prime factors of 5939 and 5947. First we will calculate the prime factors of 5939 and 5947.

Prime Factorization of 5939


5939 5939
1

Prime factors of 5939 are 5939. Prime factorization of 5939 in exponential form is:

5939 = 59391

Prime Factorization of 5947


19 5947
313 313
1

Prime factors of 5947 are 19,313. Prime factorization of 5947 in exponential form is:

5947 = 191×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 5939 and 5947.

LCM(5939,5947) = 191×3131×59391
LCM(5939,5947) = 35319233

Factors of 5939

List of positive integer factors of 5939 that divides 5939 without a remainder.

1, 5939

Factors of 5947

List of positive integer factors of 5947 that divides 5947 without a remainder.

1, 19, 313, 5947

Least Common Multiple of 5939 and 5947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5939 and 5947, than apply into the LCM equation.

GCF(5939,5947) = 1
LCM(5939,5947) = ( 5939 × 5947) / 1
LCM(5939,5947) = 35319233 / 1
LCM(5939,5947) = 35319233

Properties of LCM 5939 and 5947

(i) The LCM of 5947 and 5939 is associative

LCM of 5939 and 5947 = LCM of 5947 and 5939

Related Least Common Multiples of 5939

Related Least Common Multiples of 5947

Frequently Asked Questions on LCM of 5939 and 5947

1. What is the LCM of 5939 and 5947?

Answer: LCM of 5939 and 5947 is 35319233.

2. What are the Factors of 5939?

Answer: Factors of 5939 are 1, 5939. There are 2 integers that are factors of 5939. The greatest factor of 5939 is 5939.

3. What are the Factors of 5947?

Answer: Factors of 5947 are 1, 19, 313, 5947. There are 4 integers that are factors of 5947. The greatest factor of 5947 is 5947.

4. How to Find the LCM of 5939 and 5947?

Answer:

Least Common Multiple of 5939 and 5947 = 35319233

Step 1: Find the prime factorization of 5939

5939 = 5939

Step 2: Find the prime factorization of 5947

5947 = 19 x 313

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

LCM = 35319233 = 19 x 313 x 5939

Step 4: Therefore, the least common multiple of 5939 and 5947 is 35319233.