Least Common Multiple of 4934 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 4934 and 4940 the smallest integer that is 12186980 that is divisible by both numbers.

Least Common Multiple (LCM) of 4934 and 4940 is 12186980.

LCM(4934,4940) = 12186980

LCM of 4934 and 4940

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

LCM of:
and

Least Common Multiple of 4934 and 4940

LCM of 4934 and 4940 is 12186980

Least common multiple can be found by multiplying the highest exponent prime factors of 4934 and 4940. First we will calculate the prime factors of 4934 and 4940.

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 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 4934 and 4940.

LCM(4934,4940) = 22×51×131×191×24671
LCM(4934,4940) = 12186980

Factors of 4934

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

1, 2, 2467, 4934

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 4934 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 4934 and 4940, than apply into the LCM equation.

GCF(4934,4940) = 2
LCM(4934,4940) = ( 4934 × 4940) / 2
LCM(4934,4940) = 24373960 / 2
LCM(4934,4940) = 12186980

Properties of LCM 4934 and 4940

(i) The LCM of 4940 and 4934 is associative

LCM of 4934 and 4940 = LCM of 4940 and 4934

Related Least Common Multiples of 4934

Related Least Common Multiples of 4940

Frequently Asked Questions on LCM of 4934 and 4940

1. What is the LCM of 4934 and 4940?

Answer: LCM of 4934 and 4940 is 12186980.

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 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 4934 and 4940?

Answer:

Least Common Multiple of 4934 and 4940 = 12186980

Step 1: Find the prime factorization of 4934

4934 = 2 x 2467

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 = 12186980 = 2 x 2 x 5 x 13 x 19 x 2467

Step 4: Therefore, the least common multiple of 4934 and 4940 is 12186980.