Least Common Multiple of 4947 and 4954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4947 and 4954 the smallest integer that is 24507438 that is divisible by both numbers.

Least Common Multiple (LCM) of 4947 and 4954 is 24507438.

LCM(4947,4954) = 24507438

LCM of 4947 and 4954

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

LCM of:
and

Least Common Multiple of 4947 and 4954

LCM of 4947 and 4954 is 24507438

Least common multiple can be found by multiplying the highest exponent prime factors of 4947 and 4954. First we will calculate the prime factors of 4947 and 4954.

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

Prime Factorization of 4954


2 4954
2477 2477
1

Prime factors of 4954 are 2,2477. Prime factorization of 4954 in exponential form is:

4954 = 21×24771

Now multiplying the highest exponent prime factors to calculate the LCM of 4947 and 4954.

LCM(4947,4954) = 21×31×171×971×24771
LCM(4947,4954) = 24507438

Factors of 4947

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

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

Factors of 4954

List of positive integer factors of 4954 that divides 4954 without a remainder.

1, 2, 2477, 4954

Least Common Multiple of 4947 and 4954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4947 and 4954, than apply into the LCM equation.

GCF(4947,4954) = 1
LCM(4947,4954) = ( 4947 × 4954) / 1
LCM(4947,4954) = 24507438 / 1
LCM(4947,4954) = 24507438

Properties of LCM 4947 and 4954

(i) The LCM of 4954 and 4947 is associative

LCM of 4947 and 4954 = LCM of 4954 and 4947

Related Least Common Multiples of 4947

Related Least Common Multiples of 4954

Frequently Asked Questions on LCM of 4947 and 4954

1. What is the LCM of 4947 and 4954?

Answer: LCM of 4947 and 4954 is 24507438.

2. 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.

3. What are the Factors of 4954?

Answer: Factors of 4954 are 1, 2, 2477, 4954. There are 4 integers that are factors of 4954. The greatest factor of 4954 is 4954.

4. How to Find the LCM of 4947 and 4954?

Answer:

Least Common Multiple of 4947 and 4954 = 24507438

Step 1: Find the prime factorization of 4947

4947 = 3 x 17 x 97

Step 2: Find the prime factorization of 4954

4954 = 2 x 2477

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

LCM = 24507438 = 2 x 3 x 17 x 97 x 2477

Step 4: Therefore, the least common multiple of 4947 and 4954 is 24507438.