Least Common Multiple of 4856 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 4856 and 4863 the smallest integer that is 23614728 that is divisible by both numbers.

Least Common Multiple (LCM) of 4856 and 4863 is 23614728.

LCM(4856,4863) = 23614728

LCM of 4856 and 4863

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

LCM of:
and

Least Common Multiple of 4856 and 4863

LCM of 4856 and 4863 is 23614728

Least common multiple can be found by multiplying the highest exponent prime factors of 4856 and 4863. First we will calculate the prime factors of 4856 and 4863.

Prime Factorization of 4856


2 4856
2 2428
2 1214
607 607
1

Prime factors of 4856 are 2,607. Prime factorization of 4856 in exponential form is:

4856 = 23×6071

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 4856 and 4863.

LCM(4856,4863) = 23×31×6071×16211
LCM(4856,4863) = 23614728

Factors of 4856

List of positive integer factors of 4856 that divides 4856 without a remainder.

1, 2, 4, 8, 607, 1214, 2428, 4856

Factors of 4863

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

1, 3, 1621, 4863

Least Common Multiple of 4856 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 4856 and 4863, than apply into the LCM equation.

GCF(4856,4863) = 1
LCM(4856,4863) = ( 4856 × 4863) / 1
LCM(4856,4863) = 23614728 / 1
LCM(4856,4863) = 23614728

Properties of LCM 4856 and 4863

(i) The LCM of 4863 and 4856 is associative

LCM of 4856 and 4863 = LCM of 4863 and 4856

Related Least Common Multiples of 4856

Related Least Common Multiples of 4863

Frequently Asked Questions on LCM of 4856 and 4863

1. What is the LCM of 4856 and 4863?

Answer: LCM of 4856 and 4863 is 23614728.

2. What are the Factors of 4856?

Answer: Factors of 4856 are 1, 2, 4, 8, 607, 1214, 2428, 4856. There are 8 integers that are factors of 4856. The greatest factor of 4856 is 4856.

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 4856 and 4863?

Answer:

Least Common Multiple of 4856 and 4863 = 23614728

Step 1: Find the prime factorization of 4856

4856 = 2 x 2 x 2 x 607

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 = 23614728 = 2 x 2 x 2 x 3 x 607 x 1621

Step 4: Therefore, the least common multiple of 4856 and 4863 is 23614728.