Least Common Multiple of 4877 and 4882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 4877 and 4882 the smallest integer that is 23809514 that is divisible by both numbers.

Least Common Multiple (LCM) of 4877 and 4882 is 23809514.

LCM(4877,4882) = 23809514

LCM of 4877 and 4882

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

LCM of:
and

Least Common Multiple of 4877 and 4882

LCM of 4877 and 4882 is 23809514

Least common multiple can be found by multiplying the highest exponent prime factors of 4877 and 4882. First we will calculate the prime factors of 4877 and 4882.

Prime Factorization of 4877


4877 4877
1

Prime factors of 4877 are 4877. Prime factorization of 4877 in exponential form is:

4877 = 48771

Prime Factorization of 4882


2 4882
2441 2441
1

Prime factors of 4882 are 2,2441. Prime factorization of 4882 in exponential form is:

4882 = 21×24411

Now multiplying the highest exponent prime factors to calculate the LCM of 4877 and 4882.

LCM(4877,4882) = 21×24411×48771
LCM(4877,4882) = 23809514

Factors of 4877

List of positive integer factors of 4877 that divides 4877 without a remainder.

1, 4877

Factors of 4882

List of positive integer factors of 4882 that divides 4882 without a remainder.

1, 2, 2441, 4882

Least Common Multiple of 4877 and 4882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4877 and 4882, than apply into the LCM equation.

GCF(4877,4882) = 1
LCM(4877,4882) = ( 4877 × 4882) / 1
LCM(4877,4882) = 23809514 / 1
LCM(4877,4882) = 23809514

Properties of LCM 4877 and 4882

(i) The LCM of 4882 and 4877 is associative

LCM of 4877 and 4882 = LCM of 4882 and 4877

Frequently Asked Questions on LCM of 4877 and 4882

1. What is the LCM of 4877 and 4882?

Answer: LCM of 4877 and 4882 is 23809514.

2. What are the Factors of 4877?

Answer: Factors of 4877 are 1, 4877. There are 2 integers that are factors of 4877. The greatest factor of 4877 is 4877.

3. What are the Factors of 4882?

Answer: Factors of 4882 are 1, 2, 2441, 4882. There are 4 integers that are factors of 4882. The greatest factor of 4882 is 4882.

4. How to Find the LCM of 4877 and 4882?

Answer:

Least Common Multiple of 4877 and 4882 = 23809514

Step 1: Find the prime factorization of 4877

4877 = 4877

Step 2: Find the prime factorization of 4882

4882 = 2 x 2441

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

LCM = 23809514 = 2 x 2441 x 4877

Step 4: Therefore, the least common multiple of 4877 and 4882 is 23809514.