Least Common Multiple of 4934 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 4934 and 4942 the smallest integer that is 12191914 that is divisible by both numbers.

Least Common Multiple (LCM) of 4934 and 4942 is 12191914.

LCM(4934,4942) = 12191914

LCM of 4934 and 4942

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

LCM of:
and

Least Common Multiple of 4934 and 4942

LCM of 4934 and 4942 is 12191914

Least common multiple can be found by multiplying the highest exponent prime factors of 4934 and 4942. First we will calculate the prime factors of 4934 and 4942.

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 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 4934 and 4942.

LCM(4934,4942) = 21×71×3531×24671
LCM(4934,4942) = 12191914

Factors of 4934

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

1, 2, 2467, 4934

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 4934 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 4934 and 4942, than apply into the LCM equation.

GCF(4934,4942) = 2
LCM(4934,4942) = ( 4934 × 4942) / 2
LCM(4934,4942) = 24383828 / 2
LCM(4934,4942) = 12191914

Properties of LCM 4934 and 4942

(i) The LCM of 4942 and 4934 is associative

LCM of 4934 and 4942 = LCM of 4942 and 4934

Related Least Common Multiples of 4934

Related Least Common Multiples of 4942

Frequently Asked Questions on LCM of 4934 and 4942

1. What is the LCM of 4934 and 4942?

Answer: LCM of 4934 and 4942 is 12191914.

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 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 4934 and 4942?

Answer:

Least Common Multiple of 4934 and 4942 = 12191914

Step 1: Find the prime factorization of 4934

4934 = 2 x 2467

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 = 12191914 = 2 x 7 x 353 x 2467

Step 4: Therefore, the least common multiple of 4934 and 4942 is 12191914.