Least Common Multiple of 4857 and 4861

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 4861 the smallest integer that is 23609877 that is divisible by both numbers.

Least Common Multiple (LCM) of 4857 and 4861 is 23609877.

LCM(4857,4861) = 23609877

LCM of 4857 and 4861

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

LCM of:
and

Least Common Multiple of 4857 and 4861

LCM of 4857 and 4861 is 23609877

Least common multiple can be found by multiplying the highest exponent prime factors of 4857 and 4861. First we will calculate the prime factors of 4857 and 4861.

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 4861


4861 4861
1

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

4861 = 48611

Now multiplying the highest exponent prime factors to calculate the LCM of 4857 and 4861.

LCM(4857,4861) = 31×16191×48611
LCM(4857,4861) = 23609877

Factors of 4857

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

1, 3, 1619, 4857

Factors of 4861

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

1, 4861

Least Common Multiple of 4857 and 4861 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 4861, than apply into the LCM equation.

GCF(4857,4861) = 1
LCM(4857,4861) = ( 4857 × 4861) / 1
LCM(4857,4861) = 23609877 / 1
LCM(4857,4861) = 23609877

Properties of LCM 4857 and 4861

(i) The LCM of 4861 and 4857 is associative

LCM of 4857 and 4861 = LCM of 4861 and 4857

Frequently Asked Questions on LCM of 4857 and 4861

1. What is the LCM of 4857 and 4861?

Answer: LCM of 4857 and 4861 is 23609877.

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 4861?

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

4. How to Find the LCM of 4857 and 4861?

Answer:

Least Common Multiple of 4857 and 4861 = 23609877

Step 1: Find the prime factorization of 4857

4857 = 3 x 1619

Step 2: Find the prime factorization of 4861

4861 = 4861

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

LCM = 23609877 = 3 x 1619 x 4861

Step 4: Therefore, the least common multiple of 4857 and 4861 is 23609877.