Least Common Multiple of 4947 and 4953

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 4953 the smallest integer that is 8167497 that is divisible by both numbers.

Least Common Multiple (LCM) of 4947 and 4953 is 8167497.

LCM(4947,4953) = 8167497

LCM of 4947 and 4953

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

LCM of:
and

Least Common Multiple of 4947 and 4953

LCM of 4947 and 4953 is 8167497

Least common multiple can be found by multiplying the highest exponent prime factors of 4947 and 4953. First we will calculate the prime factors of 4947 and 4953.

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 4953


3 4953
13 1651
127 127
1

Prime factors of 4953 are 3, 13,127. Prime factorization of 4953 in exponential form is:

4953 = 31×131×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 4947 and 4953.

LCM(4947,4953) = 31×131×171×971×1271
LCM(4947,4953) = 8167497

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 4953

List of positive integer factors of 4953 that divides 4953 without a remainder.

1, 3, 13, 39, 127, 381, 1651, 4953

Least Common Multiple of 4947 and 4953 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 4953, than apply into the LCM equation.

GCF(4947,4953) = 3
LCM(4947,4953) = ( 4947 × 4953) / 3
LCM(4947,4953) = 24502491 / 3
LCM(4947,4953) = 8167497

Properties of LCM 4947 and 4953

(i) The LCM of 4953 and 4947 is associative

LCM of 4947 and 4953 = LCM of 4953 and 4947

Related Least Common Multiples of 4947

Related Least Common Multiples of 4953

Frequently Asked Questions on LCM of 4947 and 4953

1. What is the LCM of 4947 and 4953?

Answer: LCM of 4947 and 4953 is 8167497.

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 4953?

Answer: Factors of 4953 are 1, 3, 13, 39, 127, 381, 1651, 4953. There are 8 integers that are factors of 4953. The greatest factor of 4953 is 4953.

4. How to Find the LCM of 4947 and 4953?

Answer:

Least Common Multiple of 4947 and 4953 = 8167497

Step 1: Find the prime factorization of 4947

4947 = 3 x 17 x 97

Step 2: Find the prime factorization of 4953

4953 = 3 x 13 x 127

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

LCM = 8167497 = 3 x 13 x 17 x 97 x 127

Step 4: Therefore, the least common multiple of 4947 and 4953 is 8167497.