Least Common Multiple of 4861 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 4861 and 4863 the smallest integer that is 23639043 that is divisible by both numbers.

Least Common Multiple (LCM) of 4861 and 4863 is 23639043.

LCM(4861,4863) = 23639043

LCM of 4861 and 4863

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

LCM of:
and

Least Common Multiple of 4861 and 4863

LCM of 4861 and 4863 is 23639043

Least common multiple can be found by multiplying the highest exponent prime factors of 4861 and 4863. First we will calculate the prime factors of 4861 and 4863.

Prime Factorization of 4861


4861 4861
1

Prime factors of 4861 are 4861. Prime factorization of 4861 in exponential form is:

4861 = 48611

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 4861 and 4863.

LCM(4861,4863) = 31×16211×48611
LCM(4861,4863) = 23639043

Factors of 4861

List of positive integer factors of 4861 that divides 4861 without a remainder.

1, 4861

Factors of 4863

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

1, 3, 1621, 4863

Least Common Multiple of 4861 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 4861 and 4863, than apply into the LCM equation.

GCF(4861,4863) = 1
LCM(4861,4863) = ( 4861 × 4863) / 1
LCM(4861,4863) = 23639043 / 1
LCM(4861,4863) = 23639043

Properties of LCM 4861 and 4863

(i) The LCM of 4863 and 4861 is associative

LCM of 4861 and 4863 = LCM of 4863 and 4861

Frequently Asked Questions on LCM of 4861 and 4863

1. What is the LCM of 4861 and 4863?

Answer: LCM of 4861 and 4863 is 23639043.

2. What are the Factors of 4861?

Answer: Factors of 4861 are 1, 4861. There are 2 integers that are factors of 4861. The greatest factor of 4861 is 4861.

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 4861 and 4863?

Answer:

Least Common Multiple of 4861 and 4863 = 23639043

Step 1: Find the prime factorization of 4861

4861 = 4861

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 = 23639043 = 3 x 1621 x 4861

Step 4: Therefore, the least common multiple of 4861 and 4863 is 23639043.