Least Common Multiple of 4852 and 4856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4852 and 4856 the smallest integer that is 5890328 that is divisible by both numbers.

Least Common Multiple (LCM) of 4852 and 4856 is 5890328.

LCM(4852,4856) = 5890328

LCM of 4852 and 4856

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

LCM of:
and

Least Common Multiple of 4852 and 4856

LCM of 4852 and 4856 is 5890328

Least common multiple can be found by multiplying the highest exponent prime factors of 4852 and 4856. First we will calculate the prime factors of 4852 and 4856.

Prime Factorization of 4852


2 4852
2 2426
1213 1213
1

Prime factors of 4852 are 2,1213. Prime factorization of 4852 in exponential form is:

4852 = 22×12131

Prime Factorization of 4856


2 4856
2 2428
2 1214
607 607
1

Prime factors of 4856 are 2,607. Prime factorization of 4856 in exponential form is:

4856 = 23×6071

Now multiplying the highest exponent prime factors to calculate the LCM of 4852 and 4856.

LCM(4852,4856) = 23×6071×12131
LCM(4852,4856) = 5890328

Factors of 4852

List of positive integer factors of 4852 that divides 4852 without a remainder.

1, 2, 4, 1213, 2426, 4852

Factors of 4856

List of positive integer factors of 4856 that divides 4856 without a remainder.

1, 2, 4, 8, 607, 1214, 2428, 4856

Least Common Multiple of 4852 and 4856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4852 and 4856, than apply into the LCM equation.

GCF(4852,4856) = 4
LCM(4852,4856) = ( 4852 × 4856) / 4
LCM(4852,4856) = 23561312 / 4
LCM(4852,4856) = 5890328

Properties of LCM 4852 and 4856

(i) The LCM of 4856 and 4852 is associative

LCM of 4852 and 4856 = LCM of 4856 and 4852

Related Least Common Multiples of 4852

Related Least Common Multiples of 4856

Frequently Asked Questions on LCM of 4852 and 4856

1. What is the LCM of 4852 and 4856?

Answer: LCM of 4852 and 4856 is 5890328.

2. What are the Factors of 4852?

Answer: Factors of 4852 are 1, 2, 4, 1213, 2426, 4852. There are 6 integers that are factors of 4852. The greatest factor of 4852 is 4852.

3. What are the Factors of 4856?

Answer: Factors of 4856 are 1, 2, 4, 8, 607, 1214, 2428, 4856. There are 8 integers that are factors of 4856. The greatest factor of 4856 is 4856.

4. How to Find the LCM of 4852 and 4856?

Answer:

Least Common Multiple of 4852 and 4856 = 5890328

Step 1: Find the prime factorization of 4852

4852 = 2 x 2 x 1213

Step 2: Find the prime factorization of 4856

4856 = 2 x 2 x 2 x 607

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

LCM = 5890328 = 2 x 2 x 2 x 607 x 1213

Step 4: Therefore, the least common multiple of 4852 and 4856 is 5890328.