Least Common Multiple of 4921 and 4928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4921 and 4928 the smallest integer that is 3464384 that is divisible by both numbers.

Least Common Multiple (LCM) of 4921 and 4928 is 3464384.

LCM(4921,4928) = 3464384

LCM of 4921 and 4928

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

LCM of:
and

Least Common Multiple of 4921 and 4928

LCM of 4921 and 4928 is 3464384

Least common multiple can be found by multiplying the highest exponent prime factors of 4921 and 4928. First we will calculate the prime factors of 4921 and 4928.

Prime Factorization of 4921


7 4921
19 703
37 37
1

Prime factors of 4921 are 7, 19,37. Prime factorization of 4921 in exponential form is:

4921 = 71×191×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4921 and 4928.

LCM(4921,4928) = 26×71×111×191×371
LCM(4921,4928) = 3464384

Factors of 4921

List of positive integer factors of 4921 that divides 4921 without a remainder.

1, 7, 19, 37, 133, 259, 703, 4921

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

Least Common Multiple of 4921 and 4928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4921 and 4928, than apply into the LCM equation.

GCF(4921,4928) = 7
LCM(4921,4928) = ( 4921 × 4928) / 7
LCM(4921,4928) = 24250688 / 7
LCM(4921,4928) = 3464384

Properties of LCM 4921 and 4928

(i) The LCM of 4928 and 4921 is associative

LCM of 4921 and 4928 = LCM of 4928 and 4921

Related Least Common Multiples of 4921

Related Least Common Multiples of 4928

Frequently Asked Questions on LCM of 4921 and 4928

1. What is the LCM of 4921 and 4928?

Answer: LCM of 4921 and 4928 is 3464384.

2. What are the Factors of 4921?

Answer: Factors of 4921 are 1, 7, 19, 37, 133, 259, 703, 4921. There are 8 integers that are factors of 4921. The greatest factor of 4921 is 4921.

3. 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.

4. How to Find the LCM of 4921 and 4928?

Answer:

Least Common Multiple of 4921 and 4928 = 3464384

Step 1: Find the prime factorization of 4921

4921 = 7 x 19 x 37

Step 2: Find the prime factorization of 4928

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

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

LCM = 3464384 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 11 x 19 x 37

Step 4: Therefore, the least common multiple of 4921 and 4928 is 3464384.