Least Common Multiple of 4928 and 4934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4928 and 4934 the smallest integer that is 12157376 that is divisible by both numbers.

Least Common Multiple (LCM) of 4928 and 4934 is 12157376.

LCM(4928,4934) = 12157376

LCM of 4928 and 4934

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

LCM of:
and

Least Common Multiple of 4928 and 4934

LCM of 4928 and 4934 is 12157376

Least common multiple can be found by multiplying the highest exponent prime factors of 4928 and 4934. First we will calculate the prime factors of 4928 and 4934.

Prime Factorization of 4928


2 4928
2 2464
2 1232
2 616
2 308
2 154
7 77
11 11
1

Prime factors of 4928 are 2, 7,11. Prime factorization of 4928 in exponential form is:

4928 = 26×71×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4928 and 4934.

LCM(4928,4934) = 26×71×111×24671
LCM(4928,4934) = 12157376

Factors of 4928

List of positive integer factors of 4928 that divides 4928 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464, 4928

Factors of 4934

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

1, 2, 2467, 4934

Least Common Multiple of 4928 and 4934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4928 and 4934, than apply into the LCM equation.

GCF(4928,4934) = 2
LCM(4928,4934) = ( 4928 × 4934) / 2
LCM(4928,4934) = 24314752 / 2
LCM(4928,4934) = 12157376

Properties of LCM 4928 and 4934

(i) The LCM of 4934 and 4928 is associative

LCM of 4928 and 4934 = LCM of 4934 and 4928

Related Least Common Multiples of 4928

Related Least Common Multiples of 4934

Frequently Asked Questions on LCM of 4928 and 4934

1. What is the LCM of 4928 and 4934?

Answer: LCM of 4928 and 4934 is 12157376.

2. What are the Factors of 4928?

Answer: Factors of 4928 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464, 4928. There are 28 integers that are factors of 4928. The greatest factor of 4928 is 4928.

3. 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.

4. How to Find the LCM of 4928 and 4934?

Answer:

Least Common Multiple of 4928 and 4934 = 12157376

Step 1: Find the prime factorization of 4928

4928 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 11

Step 2: Find the prime factorization of 4934

4934 = 2 x 2467

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

LCM = 12157376 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 11 x 2467

Step 4: Therefore, the least common multiple of 4928 and 4934 is 12157376.