Least Common Multiple of 4878 and 4883

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 4883 the smallest integer that is 23819274 that is divisible by both numbers.

Least Common Multiple (LCM) of 4878 and 4883 is 23819274.

LCM(4878,4883) = 23819274

LCM of 4878 and 4883

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

LCM of:
and

Least Common Multiple of 4878 and 4883

LCM of 4878 and 4883 is 23819274

Least common multiple can be found by multiplying the highest exponent prime factors of 4878 and 4883. First we will calculate the prime factors of 4878 and 4883.

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 4883


19 4883
257 257
1

Prime factors of 4883 are 19,257. Prime factorization of 4883 in exponential form is:

4883 = 191×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 4878 and 4883.

LCM(4878,4883) = 21×32×191×2571×2711
LCM(4878,4883) = 23819274

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 4883

List of positive integer factors of 4883 that divides 4883 without a remainder.

1, 19, 257, 4883

Least Common Multiple of 4878 and 4883 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 4883, than apply into the LCM equation.

GCF(4878,4883) = 1
LCM(4878,4883) = ( 4878 × 4883) / 1
LCM(4878,4883) = 23819274 / 1
LCM(4878,4883) = 23819274

Properties of LCM 4878 and 4883

(i) The LCM of 4883 and 4878 is associative

LCM of 4878 and 4883 = LCM of 4883 and 4878

Related Least Common Multiples of 4878

Related Least Common Multiples of 4883

Frequently Asked Questions on LCM of 4878 and 4883

1. What is the LCM of 4878 and 4883?

Answer: LCM of 4878 and 4883 is 23819274.

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 4883?

Answer: Factors of 4883 are 1, 19, 257, 4883. There are 4 integers that are factors of 4883. The greatest factor of 4883 is 4883.

4. How to Find the LCM of 4878 and 4883?

Answer:

Least Common Multiple of 4878 and 4883 = 23819274

Step 1: Find the prime factorization of 4878

4878 = 2 x 3 x 3 x 271

Step 2: Find the prime factorization of 4883

4883 = 19 x 257

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

LCM = 23819274 = 2 x 3 x 3 x 19 x 257 x 271

Step 4: Therefore, the least common multiple of 4878 and 4883 is 23819274.