Least Common Multiple of 4874 and 4878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4874 and 4878 the smallest integer that is 11887686 that is divisible by both numbers.

Least Common Multiple (LCM) of 4874 and 4878 is 11887686.

LCM(4874,4878) = 11887686

LCM of 4874 and 4878

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

LCM of:
and

Least Common Multiple of 4874 and 4878

LCM of 4874 and 4878 is 11887686

Least common multiple can be found by multiplying the highest exponent prime factors of 4874 and 4878. First we will calculate the prime factors of 4874 and 4878.

Prime Factorization of 4874


2 4874
2437 2437
1

Prime factors of 4874 are 2,2437. Prime factorization of 4874 in exponential form is:

4874 = 21×24371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4874 and 4878.

LCM(4874,4878) = 21×32×2711×24371
LCM(4874,4878) = 11887686

Factors of 4874

List of positive integer factors of 4874 that divides 4874 without a remainder.

1, 2, 2437, 4874

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

Least Common Multiple of 4874 and 4878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4874 and 4878, than apply into the LCM equation.

GCF(4874,4878) = 2
LCM(4874,4878) = ( 4874 × 4878) / 2
LCM(4874,4878) = 23775372 / 2
LCM(4874,4878) = 11887686

Properties of LCM 4874 and 4878

(i) The LCM of 4878 and 4874 is associative

LCM of 4874 and 4878 = LCM of 4878 and 4874

Related Least Common Multiples of 4874

Related Least Common Multiples of 4878

Frequently Asked Questions on LCM of 4874 and 4878

1. What is the LCM of 4874 and 4878?

Answer: LCM of 4874 and 4878 is 11887686.

2. What are the Factors of 4874?

Answer: Factors of 4874 are 1, 2, 2437, 4874. There are 4 integers that are factors of 4874. The greatest factor of 4874 is 4874.

3. 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.

4. How to Find the LCM of 4874 and 4878?

Answer:

Least Common Multiple of 4874 and 4878 = 11887686

Step 1: Find the prime factorization of 4874

4874 = 2 x 2437

Step 2: Find the prime factorization of 4878

4878 = 2 x 3 x 3 x 271

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

LCM = 11887686 = 2 x 3 x 3 x 271 x 2437

Step 4: Therefore, the least common multiple of 4874 and 4878 is 11887686.