Least Common Multiple of 4868 and 4876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4868 and 4876 the smallest integer that is 5934092 that is divisible by both numbers.

Least Common Multiple (LCM) of 4868 and 4876 is 5934092.

LCM(4868,4876) = 5934092

LCM of 4868 and 4876

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

LCM of:
and

Least Common Multiple of 4868 and 4876

LCM of 4868 and 4876 is 5934092

Least common multiple can be found by multiplying the highest exponent prime factors of 4868 and 4876. First we will calculate the prime factors of 4868 and 4876.

Prime Factorization of 4868


2 4868
2 2434
1217 1217
1

Prime factors of 4868 are 2,1217. Prime factorization of 4868 in exponential form is:

4868 = 22×12171

Prime Factorization of 4876


2 4876
2 2438
23 1219
53 53
1

Prime factors of 4876 are 2, 23,53. Prime factorization of 4876 in exponential form is:

4876 = 22×231×531

Now multiplying the highest exponent prime factors to calculate the LCM of 4868 and 4876.

LCM(4868,4876) = 22×231×531×12171
LCM(4868,4876) = 5934092

Factors of 4868

List of positive integer factors of 4868 that divides 4868 without a remainder.

1, 2, 4, 1217, 2434, 4868

Factors of 4876

List of positive integer factors of 4876 that divides 4876 without a remainder.

1, 2, 4, 23, 46, 53, 92, 106, 212, 1219, 2438, 4876

Least Common Multiple of 4868 and 4876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4868 and 4876, than apply into the LCM equation.

GCF(4868,4876) = 4
LCM(4868,4876) = ( 4868 × 4876) / 4
LCM(4868,4876) = 23736368 / 4
LCM(4868,4876) = 5934092

Properties of LCM 4868 and 4876

(i) The LCM of 4876 and 4868 is associative

LCM of 4868 and 4876 = LCM of 4876 and 4868

Related Least Common Multiples of 4868

Related Least Common Multiples of 4876

Frequently Asked Questions on LCM of 4868 and 4876

1. What is the LCM of 4868 and 4876?

Answer: LCM of 4868 and 4876 is 5934092.

2. What are the Factors of 4868?

Answer: Factors of 4868 are 1, 2, 4, 1217, 2434, 4868. There are 6 integers that are factors of 4868. The greatest factor of 4868 is 4868.

3. What are the Factors of 4876?

Answer: Factors of 4876 are 1, 2, 4, 23, 46, 53, 92, 106, 212, 1219, 2438, 4876. There are 12 integers that are factors of 4876. The greatest factor of 4876 is 4876.

4. How to Find the LCM of 4868 and 4876?

Answer:

Least Common Multiple of 4868 and 4876 = 5934092

Step 1: Find the prime factorization of 4868

4868 = 2 x 2 x 1217

Step 2: Find the prime factorization of 4876

4876 = 2 x 2 x 23 x 53

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

LCM = 5934092 = 2 x 2 x 23 x 53 x 1217

Step 4: Therefore, the least common multiple of 4868 and 4876 is 5934092.