Least Common Multiple of 4943 and 4947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4943 and 4947 the smallest integer that is 24453021 that is divisible by both numbers.

Least Common Multiple (LCM) of 4943 and 4947 is 24453021.

LCM(4943,4947) = 24453021

LCM of 4943 and 4947

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

LCM of:
and

Least Common Multiple of 4943 and 4947

LCM of 4943 and 4947 is 24453021

Least common multiple can be found by multiplying the highest exponent prime factors of 4943 and 4947. First we will calculate the prime factors of 4943 and 4947.

Prime Factorization of 4943


4943 4943
1

Prime factors of 4943 are 4943. Prime factorization of 4943 in exponential form is:

4943 = 49431

Prime Factorization of 4947


3 4947
17 1649
97 97
1

Prime factors of 4947 are 3, 17,97. Prime factorization of 4947 in exponential form is:

4947 = 31×171×971

Now multiplying the highest exponent prime factors to calculate the LCM of 4943 and 4947.

LCM(4943,4947) = 31×171×971×49431
LCM(4943,4947) = 24453021

Factors of 4943

List of positive integer factors of 4943 that divides 4943 without a remainder.

1, 4943

Factors of 4947

List of positive integer factors of 4947 that divides 4947 without a remainder.

1, 3, 17, 51, 97, 291, 1649, 4947

Least Common Multiple of 4943 and 4947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4943 and 4947, than apply into the LCM equation.

GCF(4943,4947) = 1
LCM(4943,4947) = ( 4943 × 4947) / 1
LCM(4943,4947) = 24453021 / 1
LCM(4943,4947) = 24453021

Properties of LCM 4943 and 4947

(i) The LCM of 4947 and 4943 is associative

LCM of 4943 and 4947 = LCM of 4947 and 4943

Related Least Common Multiples of 4943

Related Least Common Multiples of 4947

Frequently Asked Questions on LCM of 4943 and 4947

1. What is the LCM of 4943 and 4947?

Answer: LCM of 4943 and 4947 is 24453021.

2. What are the Factors of 4943?

Answer: Factors of 4943 are 1, 4943. There are 2 integers that are factors of 4943. The greatest factor of 4943 is 4943.

3. What are the Factors of 4947?

Answer: Factors of 4947 are 1, 3, 17, 51, 97, 291, 1649, 4947. There are 8 integers that are factors of 4947. The greatest factor of 4947 is 4947.

4. How to Find the LCM of 4943 and 4947?

Answer:

Least Common Multiple of 4943 and 4947 = 24453021

Step 1: Find the prime factorization of 4943

4943 = 4943

Step 2: Find the prime factorization of 4947

4947 = 3 x 17 x 97

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

LCM = 24453021 = 3 x 17 x 97 x 4943

Step 4: Therefore, the least common multiple of 4943 and 4947 is 24453021.