Least Common Multiple of 4947 and 4952

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 4952 the smallest integer that is 24497544 that is divisible by both numbers.

Least Common Multiple (LCM) of 4947 and 4952 is 24497544.

LCM(4947,4952) = 24497544

LCM of 4947 and 4952

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

LCM of:
and

Least Common Multiple of 4947 and 4952

LCM of 4947 and 4952 is 24497544

Least common multiple can be found by multiplying the highest exponent prime factors of 4947 and 4952. First we will calculate the prime factors of 4947 and 4952.

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 4952


2 4952
2 2476
2 1238
619 619
1

Prime factors of 4952 are 2,619. Prime factorization of 4952 in exponential form is:

4952 = 23×6191

Now multiplying the highest exponent prime factors to calculate the LCM of 4947 and 4952.

LCM(4947,4952) = 23×31×171×971×6191
LCM(4947,4952) = 24497544

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 4952

List of positive integer factors of 4952 that divides 4952 without a remainder.

1, 2, 4, 8, 619, 1238, 2476, 4952

Least Common Multiple of 4947 and 4952 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 4952, than apply into the LCM equation.

GCF(4947,4952) = 1
LCM(4947,4952) = ( 4947 × 4952) / 1
LCM(4947,4952) = 24497544 / 1
LCM(4947,4952) = 24497544

Properties of LCM 4947 and 4952

(i) The LCM of 4952 and 4947 is associative

LCM of 4947 and 4952 = LCM of 4952 and 4947

Related Least Common Multiples of 4947

Related Least Common Multiples of 4952

Frequently Asked Questions on LCM of 4947 and 4952

1. What is the LCM of 4947 and 4952?

Answer: LCM of 4947 and 4952 is 24497544.

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 4952?

Answer: Factors of 4952 are 1, 2, 4, 8, 619, 1238, 2476, 4952. There are 8 integers that are factors of 4952. The greatest factor of 4952 is 4952.

4. How to Find the LCM of 4947 and 4952?

Answer:

Least Common Multiple of 4947 and 4952 = 24497544

Step 1: Find the prime factorization of 4947

4947 = 3 x 17 x 97

Step 2: Find the prime factorization of 4952

4952 = 2 x 2 x 2 x 619

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

LCM = 24497544 = 2 x 2 x 2 x 3 x 17 x 97 x 619

Step 4: Therefore, the least common multiple of 4947 and 4952 is 24497544.