Least Common Multiple of 4946 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 4946 and 4954 the smallest integer that is 12251242 that is divisible by both numbers.

Least Common Multiple (LCM) of 4946 and 4954 is 12251242.

LCM(4946,4954) = 12251242

LCM of 4946 and 4954

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

LCM of:
and

Least Common Multiple of 4946 and 4954

LCM of 4946 and 4954 is 12251242

Least common multiple can be found by multiplying the highest exponent prime factors of 4946 and 4954. First we will calculate the prime factors of 4946 and 4954.

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 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 4946 and 4954.

LCM(4946,4954) = 21×24731×24771
LCM(4946,4954) = 12251242

Factors of 4946

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

1, 2, 2473, 4946

Factors of 4954

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

1, 2, 2477, 4954

Least Common Multiple of 4946 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 4946 and 4954, than apply into the LCM equation.

GCF(4946,4954) = 2
LCM(4946,4954) = ( 4946 × 4954) / 2
LCM(4946,4954) = 24502484 / 2
LCM(4946,4954) = 12251242

Properties of LCM 4946 and 4954

(i) The LCM of 4954 and 4946 is associative

LCM of 4946 and 4954 = LCM of 4954 and 4946

Related Least Common Multiples of 4946

Related Least Common Multiples of 4954

Frequently Asked Questions on LCM of 4946 and 4954

1. What is the LCM of 4946 and 4954?

Answer: LCM of 4946 and 4954 is 12251242.

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 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 4946 and 4954?

Answer:

Least Common Multiple of 4946 and 4954 = 12251242

Step 1: Find the prime factorization of 4946

4946 = 2 x 2473

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 = 12251242 = 2 x 2473 x 2477

Step 4: Therefore, the least common multiple of 4946 and 4954 is 12251242.