Least Common Multiple of 4857 and 4863

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 4863 the smallest integer that is 7873197 that is divisible by both numbers.

Least Common Multiple (LCM) of 4857 and 4863 is 7873197.

LCM(4857,4863) = 7873197

LCM of 4857 and 4863

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

LCM of:
and

Least Common Multiple of 4857 and 4863

LCM of 4857 and 4863 is 7873197

Least common multiple can be found by multiplying the highest exponent prime factors of 4857 and 4863. First we will calculate the prime factors of 4857 and 4863.

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 4863


3 4863
1621 1621
1

Prime factors of 4863 are 3,1621. Prime factorization of 4863 in exponential form is:

4863 = 31×16211

Now multiplying the highest exponent prime factors to calculate the LCM of 4857 and 4863.

LCM(4857,4863) = 31×16191×16211
LCM(4857,4863) = 7873197

Factors of 4857

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

1, 3, 1619, 4857

Factors of 4863

List of positive integer factors of 4863 that divides 4863 without a remainder.

1, 3, 1621, 4863

Least Common Multiple of 4857 and 4863 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 4863, than apply into the LCM equation.

GCF(4857,4863) = 3
LCM(4857,4863) = ( 4857 × 4863) / 3
LCM(4857,4863) = 23619591 / 3
LCM(4857,4863) = 7873197

Properties of LCM 4857 and 4863

(i) The LCM of 4863 and 4857 is associative

LCM of 4857 and 4863 = LCM of 4863 and 4857

Related Least Common Multiples of 4857

Related Least Common Multiples of 4863

Frequently Asked Questions on LCM of 4857 and 4863

1. What is the LCM of 4857 and 4863?

Answer: LCM of 4857 and 4863 is 7873197.

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 4863?

Answer: Factors of 4863 are 1, 3, 1621, 4863. There are 4 integers that are factors of 4863. The greatest factor of 4863 is 4863.

4. How to Find the LCM of 4857 and 4863?

Answer:

Least Common Multiple of 4857 and 4863 = 7873197

Step 1: Find the prime factorization of 4857

4857 = 3 x 1619

Step 2: Find the prime factorization of 4863

4863 = 3 x 1621

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

LCM = 7873197 = 3 x 1619 x 1621

Step 4: Therefore, the least common multiple of 4857 and 4863 is 7873197.