Least Common Multiple of 4941 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 4941 and 4947 the smallest integer that is 8147709 that is divisible by both numbers.

Least Common Multiple (LCM) of 4941 and 4947 is 8147709.

LCM(4941,4947) = 8147709

LCM of 4941 and 4947

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

LCM of:
and

Least Common Multiple of 4941 and 4947

LCM of 4941 and 4947 is 8147709

Least common multiple can be found by multiplying the highest exponent prime factors of 4941 and 4947. First we will calculate the prime factors of 4941 and 4947.

Prime Factorization of 4941


3 4941
3 1647
3 549
3 183
61 61
1

Prime factors of 4941 are 3,61. Prime factorization of 4941 in exponential form is:

4941 = 34×611

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 4941 and 4947.

LCM(4941,4947) = 34×171×611×971
LCM(4941,4947) = 8147709

Factors of 4941

List of positive integer factors of 4941 that divides 4941 without a remainder.

1, 3, 9, 27, 61, 81, 183, 549, 1647, 4941

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 4941 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 4941 and 4947, than apply into the LCM equation.

GCF(4941,4947) = 3
LCM(4941,4947) = ( 4941 × 4947) / 3
LCM(4941,4947) = 24443127 / 3
LCM(4941,4947) = 8147709

Properties of LCM 4941 and 4947

(i) The LCM of 4947 and 4941 is associative

LCM of 4941 and 4947 = LCM of 4947 and 4941

Related Least Common Multiples of 4941

Related Least Common Multiples of 4947

Frequently Asked Questions on LCM of 4941 and 4947

1. What is the LCM of 4941 and 4947?

Answer: LCM of 4941 and 4947 is 8147709.

2. What are the Factors of 4941?

Answer: Factors of 4941 are 1, 3, 9, 27, 61, 81, 183, 549, 1647, 4941. There are 10 integers that are factors of 4941. The greatest factor of 4941 is 4941.

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 4941 and 4947?

Answer:

Least Common Multiple of 4941 and 4947 = 8147709

Step 1: Find the prime factorization of 4941

4941 = 3 x 3 x 3 x 3 x 61

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 = 8147709 = 3 x 3 x 3 x 3 x 17 x 61 x 97

Step 4: Therefore, the least common multiple of 4941 and 4947 is 8147709.