Least Common Multiple of 4940 and 4942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4940 and 4942 the smallest integer that is 12206740 that is divisible by both numbers.

Least Common Multiple (LCM) of 4940 and 4942 is 12206740.

LCM(4940,4942) = 12206740

LCM of 4940 and 4942

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

LCM of:
and

Least Common Multiple of 4940 and 4942

LCM of 4940 and 4942 is 12206740

Least common multiple can be found by multiplying the highest exponent prime factors of 4940 and 4942. First we will calculate the prime factors of 4940 and 4942.

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

Prime Factorization of 4942


2 4942
7 2471
353 353
1

Prime factors of 4942 are 2, 7,353. Prime factorization of 4942 in exponential form is:

4942 = 21×71×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 4940 and 4942.

LCM(4940,4942) = 22×51×71×131×191×3531
LCM(4940,4942) = 12206740

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

Factors of 4942

List of positive integer factors of 4942 that divides 4942 without a remainder.

1, 2, 7, 14, 353, 706, 2471, 4942

Least Common Multiple of 4940 and 4942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4940 and 4942, than apply into the LCM equation.

GCF(4940,4942) = 2
LCM(4940,4942) = ( 4940 × 4942) / 2
LCM(4940,4942) = 24413480 / 2
LCM(4940,4942) = 12206740

Properties of LCM 4940 and 4942

(i) The LCM of 4942 and 4940 is associative

LCM of 4940 and 4942 = LCM of 4942 and 4940

Related Least Common Multiples of 4940

Related Least Common Multiples of 4942

Frequently Asked Questions on LCM of 4940 and 4942

1. What is the LCM of 4940 and 4942?

Answer: LCM of 4940 and 4942 is 12206740.

2. 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.

3. What are the Factors of 4942?

Answer: Factors of 4942 are 1, 2, 7, 14, 353, 706, 2471, 4942. There are 8 integers that are factors of 4942. The greatest factor of 4942 is 4942.

4. How to Find the LCM of 4940 and 4942?

Answer:

Least Common Multiple of 4940 and 4942 = 12206740

Step 1: Find the prime factorization of 4940

4940 = 2 x 2 x 5 x 13 x 19

Step 2: Find the prime factorization of 4942

4942 = 2 x 7 x 353

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

LCM = 12206740 = 2 x 2 x 5 x 7 x 13 x 19 x 353

Step 4: Therefore, the least common multiple of 4940 and 4942 is 12206740.