Least Common Multiple of 4878 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 4878 and 4882 the smallest integer that is 11907198 that is divisible by both numbers.

Least Common Multiple (LCM) of 4878 and 4882 is 11907198.

LCM(4878,4882) = 11907198

LCM of 4878 and 4882

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

LCM of:
and

Least Common Multiple of 4878 and 4882

LCM of 4878 and 4882 is 11907198

Least common multiple can be found by multiplying the highest exponent prime factors of 4878 and 4882. First we will calculate the prime factors of 4878 and 4882.

Prime Factorization of 4878


2 4878
3 2439
3 813
271 271
1

Prime factors of 4878 are 2, 3,271. Prime factorization of 4878 in exponential form is:

4878 = 21×32×2711

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 4878 and 4882.

LCM(4878,4882) = 21×32×2711×24411
LCM(4878,4882) = 11907198

Factors of 4878

List of positive integer factors of 4878 that divides 4878 without a remainder.

1, 2, 3, 6, 9, 18, 271, 542, 813, 1626, 2439, 4878

Factors of 4882

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

1, 2, 2441, 4882

Least Common Multiple of 4878 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 4878 and 4882, than apply into the LCM equation.

GCF(4878,4882) = 2
LCM(4878,4882) = ( 4878 × 4882) / 2
LCM(4878,4882) = 23814396 / 2
LCM(4878,4882) = 11907198

Properties of LCM 4878 and 4882

(i) The LCM of 4882 and 4878 is associative

LCM of 4878 and 4882 = LCM of 4882 and 4878

Related Least Common Multiples of 4878

Related Least Common Multiples of 4882

Frequently Asked Questions on LCM of 4878 and 4882

1. What is the LCM of 4878 and 4882?

Answer: LCM of 4878 and 4882 is 11907198.

2. What are the Factors of 4878?

Answer: Factors of 4878 are 1, 2, 3, 6, 9, 18, 271, 542, 813, 1626, 2439, 4878. There are 12 integers that are factors of 4878. The greatest factor of 4878 is 4878.

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 4878 and 4882?

Answer:

Least Common Multiple of 4878 and 4882 = 11907198

Step 1: Find the prime factorization of 4878

4878 = 2 x 3 x 3 x 271

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 = 11907198 = 2 x 3 x 3 x 271 x 2441

Step 4: Therefore, the least common multiple of 4878 and 4882 is 11907198.