Least Common Multiple of 4946 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 4946 and 4953 the smallest integer that is 24497538 that is divisible by both numbers.

Least Common Multiple (LCM) of 4946 and 4953 is 24497538.

LCM(4946,4953) = 24497538

LCM of 4946 and 4953

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

LCM of:
and

Least Common Multiple of 4946 and 4953

LCM of 4946 and 4953 is 24497538

Least common multiple can be found by multiplying the highest exponent prime factors of 4946 and 4953. First we will calculate the prime factors of 4946 and 4953.

Prime Factorization of 4946


2 4946
2473 2473
1

Prime factors of 4946 are 2,2473. Prime factorization of 4946 in exponential form is:

4946 = 21×24731

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 4946 and 4953.

LCM(4946,4953) = 21×31×131×1271×24731
LCM(4946,4953) = 24497538

Factors of 4946

List of positive integer factors of 4946 that divides 4946 without a remainder.

1, 2, 2473, 4946

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 4946 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 4946 and 4953, than apply into the LCM equation.

GCF(4946,4953) = 1
LCM(4946,4953) = ( 4946 × 4953) / 1
LCM(4946,4953) = 24497538 / 1
LCM(4946,4953) = 24497538

Properties of LCM 4946 and 4953

(i) The LCM of 4953 and 4946 is associative

LCM of 4946 and 4953 = LCM of 4953 and 4946

Related Least Common Multiples of 4946

Related Least Common Multiples of 4953

Frequently Asked Questions on LCM of 4946 and 4953

1. What is the LCM of 4946 and 4953?

Answer: LCM of 4946 and 4953 is 24497538.

2. What are the Factors of 4946?

Answer: Factors of 4946 are 1, 2, 2473, 4946. There are 4 integers that are factors of 4946. The greatest factor of 4946 is 4946.

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 4946 and 4953?

Answer:

Least Common Multiple of 4946 and 4953 = 24497538

Step 1: Find the prime factorization of 4946

4946 = 2 x 2473

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 = 24497538 = 2 x 3 x 13 x 127 x 2473

Step 4: Therefore, the least common multiple of 4946 and 4953 is 24497538.