Least Common Multiple of 4953 and 4957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4953 and 4957 the smallest integer that is 24552021 that is divisible by both numbers.

Least Common Multiple (LCM) of 4953 and 4957 is 24552021.

LCM(4953,4957) = 24552021

LCM of 4953 and 4957

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

LCM of:
and

Least Common Multiple of 4953 and 4957

LCM of 4953 and 4957 is 24552021

Least common multiple can be found by multiplying the highest exponent prime factors of 4953 and 4957. First we will calculate the prime factors of 4953 and 4957.

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

Prime Factorization of 4957


4957 4957
1

Prime factors of 4957 are 4957. Prime factorization of 4957 in exponential form is:

4957 = 49571

Now multiplying the highest exponent prime factors to calculate the LCM of 4953 and 4957.

LCM(4953,4957) = 31×131×1271×49571
LCM(4953,4957) = 24552021

Factors of 4953

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

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

Factors of 4957

List of positive integer factors of 4957 that divides 4957 without a remainder.

1, 4957

Least Common Multiple of 4953 and 4957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4953 and 4957, than apply into the LCM equation.

GCF(4953,4957) = 1
LCM(4953,4957) = ( 4953 × 4957) / 1
LCM(4953,4957) = 24552021 / 1
LCM(4953,4957) = 24552021

Properties of LCM 4953 and 4957

(i) The LCM of 4957 and 4953 is associative

LCM of 4953 and 4957 = LCM of 4957 and 4953

Related Least Common Multiples of 4953

Related Least Common Multiples of 4957

Frequently Asked Questions on LCM of 4953 and 4957

1. What is the LCM of 4953 and 4957?

Answer: LCM of 4953 and 4957 is 24552021.

2. 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.

3. What are the Factors of 4957?

Answer: Factors of 4957 are 1, 4957. There are 2 integers that are factors of 4957. The greatest factor of 4957 is 4957.

4. How to Find the LCM of 4953 and 4957?

Answer:

Least Common Multiple of 4953 and 4957 = 24552021

Step 1: Find the prime factorization of 4953

4953 = 3 x 13 x 127

Step 2: Find the prime factorization of 4957

4957 = 4957

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

LCM = 24552021 = 3 x 13 x 127 x 4957

Step 4: Therefore, the least common multiple of 4953 and 4957 is 24552021.