Least Common Multiple of 4857 and 4864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4857 and 4864 the smallest integer that is 23624448 that is divisible by both numbers.

Least Common Multiple (LCM) of 4857 and 4864 is 23624448.

LCM(4857,4864) = 23624448

LCM of 4857 and 4864

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

LCM of:
and

Least Common Multiple of 4857 and 4864

LCM of 4857 and 4864 is 23624448

Least common multiple can be found by multiplying the highest exponent prime factors of 4857 and 4864. First we will calculate the prime factors of 4857 and 4864.

Prime Factorization of 4857


3 4857
1619 1619
1

Prime factors of 4857 are 3,1619. Prime factorization of 4857 in exponential form is:

4857 = 31×16191

Prime Factorization of 4864


2 4864
2 2432
2 1216
2 608
2 304
2 152
2 76
2 38
19 19
1

Prime factors of 4864 are 2,19. Prime factorization of 4864 in exponential form is:

4864 = 28×191

Now multiplying the highest exponent prime factors to calculate the LCM of 4857 and 4864.

LCM(4857,4864) = 28×31×191×16191
LCM(4857,4864) = 23624448

Factors of 4857

List of positive integer factors of 4857 that divides 4857 without a remainder.

1, 3, 1619, 4857

Factors of 4864

List of positive integer factors of 4864 that divides 4864 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 608, 1216, 2432, 4864

Least Common Multiple of 4857 and 4864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4857 and 4864, than apply into the LCM equation.

GCF(4857,4864) = 1
LCM(4857,4864) = ( 4857 × 4864) / 1
LCM(4857,4864) = 23624448 / 1
LCM(4857,4864) = 23624448

Properties of LCM 4857 and 4864

(i) The LCM of 4864 and 4857 is associative

LCM of 4857 and 4864 = LCM of 4864 and 4857

Related Least Common Multiples of 4857

Related Least Common Multiples of 4864

Frequently Asked Questions on LCM of 4857 and 4864

1. What is the LCM of 4857 and 4864?

Answer: LCM of 4857 and 4864 is 23624448.

2. What are the Factors of 4857?

Answer: Factors of 4857 are 1, 3, 1619, 4857. There are 4 integers that are factors of 4857. The greatest factor of 4857 is 4857.

3. What are the Factors of 4864?

Answer: Factors of 4864 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 608, 1216, 2432, 4864. There are 18 integers that are factors of 4864. The greatest factor of 4864 is 4864.

4. How to Find the LCM of 4857 and 4864?

Answer:

Least Common Multiple of 4857 and 4864 = 23624448

Step 1: Find the prime factorization of 4857

4857 = 3 x 1619

Step 2: Find the prime factorization of 4864

4864 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 19

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

LCM = 23624448 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19 x 1619

Step 4: Therefore, the least common multiple of 4857 and 4864 is 23624448.