Least Common Multiple of 4939 and 4940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4939 and 4940 the smallest integer that is 24398660 that is divisible by both numbers.

Least Common Multiple (LCM) of 4939 and 4940 is 24398660.

LCM(4939,4940) = 24398660

LCM of 4939 and 4940

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

LCM of:
and

Least Common Multiple of 4939 and 4940

LCM of 4939 and 4940 is 24398660

Least common multiple can be found by multiplying the highest exponent prime factors of 4939 and 4940. First we will calculate the prime factors of 4939 and 4940.

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

Prime Factorization of 4940


2 4940
2 2470
5 1235
13 247
19 19
1

Prime factors of 4940 are 2, 5, 13,19. Prime factorization of 4940 in exponential form is:

4940 = 22×51×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 4939 and 4940.

LCM(4939,4940) = 22×51×111×131×191×4491
LCM(4939,4940) = 24398660

Factors of 4939

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

1, 11, 449, 4939

Factors of 4940

List of positive integer factors of 4940 that divides 4940 without a remainder.

1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470, 4940

Least Common Multiple of 4939 and 4940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4939 and 4940, than apply into the LCM equation.

GCF(4939,4940) = 1
LCM(4939,4940) = ( 4939 × 4940) / 1
LCM(4939,4940) = 24398660 / 1
LCM(4939,4940) = 24398660

Properties of LCM 4939 and 4940

(i) The LCM of 4940 and 4939 is associative

LCM of 4939 and 4940 = LCM of 4940 and 4939

Related Least Common Multiples of 4939

Related Least Common Multiples of 4940

Frequently Asked Questions on LCM of 4939 and 4940

1. What is the LCM of 4939 and 4940?

Answer: LCM of 4939 and 4940 is 24398660.

2. 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.

3. What are the Factors of 4940?

Answer: Factors of 4940 are 1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470, 4940. There are 24 integers that are factors of 4940. The greatest factor of 4940 is 4940.

4. How to Find the LCM of 4939 and 4940?

Answer:

Least Common Multiple of 4939 and 4940 = 24398660

Step 1: Find the prime factorization of 4939

4939 = 11 x 449

Step 2: Find the prime factorization of 4940

4940 = 2 x 2 x 5 x 13 x 19

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

LCM = 24398660 = 2 x 2 x 5 x 11 x 13 x 19 x 449

Step 4: Therefore, the least common multiple of 4939 and 4940 is 24398660.