Least Common Multiple of 4934 and 4939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4934 and 4939 the smallest integer that is 24369026 that is divisible by both numbers.

Least Common Multiple (LCM) of 4934 and 4939 is 24369026.

LCM(4934,4939) = 24369026

LCM of 4934 and 4939

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

LCM of:
and

Least Common Multiple of 4934 and 4939

LCM of 4934 and 4939 is 24369026

Least common multiple can be found by multiplying the highest exponent prime factors of 4934 and 4939. First we will calculate the prime factors of 4934 and 4939.

Prime Factorization of 4934


2 4934
2467 2467
1

Prime factors of 4934 are 2,2467. Prime factorization of 4934 in exponential form is:

4934 = 21×24671

Prime Factorization of 4939


11 4939
449 449
1

Prime factors of 4939 are 11,449. Prime factorization of 4939 in exponential form is:

4939 = 111×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 4934 and 4939.

LCM(4934,4939) = 21×111×4491×24671
LCM(4934,4939) = 24369026

Factors of 4934

List of positive integer factors of 4934 that divides 4934 without a remainder.

1, 2, 2467, 4934

Factors of 4939

List of positive integer factors of 4939 that divides 4939 without a remainder.

1, 11, 449, 4939

Least Common Multiple of 4934 and 4939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4934 and 4939, than apply into the LCM equation.

GCF(4934,4939) = 1
LCM(4934,4939) = ( 4934 × 4939) / 1
LCM(4934,4939) = 24369026 / 1
LCM(4934,4939) = 24369026

Properties of LCM 4934 and 4939

(i) The LCM of 4939 and 4934 is associative

LCM of 4934 and 4939 = LCM of 4939 and 4934

Related Least Common Multiples of 4934

Related Least Common Multiples of 4939

Frequently Asked Questions on LCM of 4934 and 4939

1. What is the LCM of 4934 and 4939?

Answer: LCM of 4934 and 4939 is 24369026.

2. What are the Factors of 4934?

Answer: Factors of 4934 are 1, 2, 2467, 4934. There are 4 integers that are factors of 4934. The greatest factor of 4934 is 4934.

3. What are the Factors of 4939?

Answer: Factors of 4939 are 1, 11, 449, 4939. There are 4 integers that are factors of 4939. The greatest factor of 4939 is 4939.

4. How to Find the LCM of 4934 and 4939?

Answer:

Least Common Multiple of 4934 and 4939 = 24369026

Step 1: Find the prime factorization of 4934

4934 = 2 x 2467

Step 2: Find the prime factorization of 4939

4939 = 11 x 449

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

LCM = 24369026 = 2 x 11 x 449 x 2467

Step 4: Therefore, the least common multiple of 4934 and 4939 is 24369026.