Least Common Multiple of 4874 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 4874 and 4882 the smallest integer that is 11897434 that is divisible by both numbers.

Least Common Multiple (LCM) of 4874 and 4882 is 11897434.

LCM(4874,4882) = 11897434

LCM of 4874 and 4882

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

LCM of:
and

Least Common Multiple of 4874 and 4882

LCM of 4874 and 4882 is 11897434

Least common multiple can be found by multiplying the highest exponent prime factors of 4874 and 4882. First we will calculate the prime factors of 4874 and 4882.

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 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 4874 and 4882.

LCM(4874,4882) = 21×24371×24411
LCM(4874,4882) = 11897434

Factors of 4874

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

1, 2, 2437, 4874

Factors of 4882

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

1, 2, 2441, 4882

Least Common Multiple of 4874 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 4874 and 4882, than apply into the LCM equation.

GCF(4874,4882) = 2
LCM(4874,4882) = ( 4874 × 4882) / 2
LCM(4874,4882) = 23794868 / 2
LCM(4874,4882) = 11897434

Properties of LCM 4874 and 4882

(i) The LCM of 4882 and 4874 is associative

LCM of 4874 and 4882 = LCM of 4882 and 4874

Related Least Common Multiples of 4874

Related Least Common Multiples of 4882

Frequently Asked Questions on LCM of 4874 and 4882

1. What is the LCM of 4874 and 4882?

Answer: LCM of 4874 and 4882 is 11897434.

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 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 4874 and 4882?

Answer:

Least Common Multiple of 4874 and 4882 = 11897434

Step 1: Find the prime factorization of 4874

4874 = 2 x 2437

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 = 11897434 = 2 x 2437 x 2441

Step 4: Therefore, the least common multiple of 4874 and 4882 is 11897434.