Least Common Multiple of 4928 and 4935

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 4935 the smallest integer that is 3474240 that is divisible by both numbers.

Least Common Multiple (LCM) of 4928 and 4935 is 3474240.

LCM(4928,4935) = 3474240

LCM of 4928 and 4935

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

LCM of:
and

Least Common Multiple of 4928 and 4935

LCM of 4928 and 4935 is 3474240

Least common multiple can be found by multiplying the highest exponent prime factors of 4928 and 4935. First we will calculate the prime factors of 4928 and 4935.

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 4935


3 4935
5 1645
7 329
47 47
1

Prime factors of 4935 are 3, 5, 7,47. Prime factorization of 4935 in exponential form is:

4935 = 31×51×71×471

Now multiplying the highest exponent prime factors to calculate the LCM of 4928 and 4935.

LCM(4928,4935) = 26×31×51×71×111×471
LCM(4928,4935) = 3474240

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 4935

List of positive integer factors of 4935 that divides 4935 without a remainder.

1, 3, 5, 7, 15, 21, 35, 47, 105, 141, 235, 329, 705, 987, 1645, 4935

Least Common Multiple of 4928 and 4935 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 4935, than apply into the LCM equation.

GCF(4928,4935) = 7
LCM(4928,4935) = ( 4928 × 4935) / 7
LCM(4928,4935) = 24319680 / 7
LCM(4928,4935) = 3474240

Properties of LCM 4928 and 4935

(i) The LCM of 4935 and 4928 is associative

LCM of 4928 and 4935 = LCM of 4935 and 4928

Related Least Common Multiples of 4928

Related Least Common Multiples of 4935

Frequently Asked Questions on LCM of 4928 and 4935

1. What is the LCM of 4928 and 4935?

Answer: LCM of 4928 and 4935 is 3474240.

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 4935?

Answer: Factors of 4935 are 1, 3, 5, 7, 15, 21, 35, 47, 105, 141, 235, 329, 705, 987, 1645, 4935. There are 16 integers that are factors of 4935. The greatest factor of 4935 is 4935.

4. How to Find the LCM of 4928 and 4935?

Answer:

Least Common Multiple of 4928 and 4935 = 3474240

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 4935

4935 = 3 x 5 x 7 x 47

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

LCM = 3474240 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 47

Step 4: Therefore, the least common multiple of 4928 and 4935 is 3474240.