Least Common Multiple of 4844 and 4852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4844 and 4852 the smallest integer that is 5875772 that is divisible by both numbers.

Least Common Multiple (LCM) of 4844 and 4852 is 5875772.

LCM(4844,4852) = 5875772

LCM of 4844 and 4852

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

LCM of:
and

Least Common Multiple of 4844 and 4852

LCM of 4844 and 4852 is 5875772

Least common multiple can be found by multiplying the highest exponent prime factors of 4844 and 4852. First we will calculate the prime factors of 4844 and 4852.

Prime Factorization of 4844


2 4844
2 2422
7 1211
173 173
1

Prime factors of 4844 are 2, 7,173. Prime factorization of 4844 in exponential form is:

4844 = 22×71×1731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4844 and 4852.

LCM(4844,4852) = 22×71×1731×12131
LCM(4844,4852) = 5875772

Factors of 4844

List of positive integer factors of 4844 that divides 4844 without a remainder.

1, 2, 4, 7, 14, 28, 173, 346, 692, 1211, 2422, 4844

Factors of 4852

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

1, 2, 4, 1213, 2426, 4852

Least Common Multiple of 4844 and 4852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4844 and 4852, than apply into the LCM equation.

GCF(4844,4852) = 4
LCM(4844,4852) = ( 4844 × 4852) / 4
LCM(4844,4852) = 23503088 / 4
LCM(4844,4852) = 5875772

Properties of LCM 4844 and 4852

(i) The LCM of 4852 and 4844 is associative

LCM of 4844 and 4852 = LCM of 4852 and 4844

Related Least Common Multiples of 4844

Related Least Common Multiples of 4852

Frequently Asked Questions on LCM of 4844 and 4852

1. What is the LCM of 4844 and 4852?

Answer: LCM of 4844 and 4852 is 5875772.

2. What are the Factors of 4844?

Answer: Factors of 4844 are 1, 2, 4, 7, 14, 28, 173, 346, 692, 1211, 2422, 4844. There are 12 integers that are factors of 4844. The greatest factor of 4844 is 4844.

3. 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.

4. How to Find the LCM of 4844 and 4852?

Answer:

Least Common Multiple of 4844 and 4852 = 5875772

Step 1: Find the prime factorization of 4844

4844 = 2 x 2 x 7 x 173

Step 2: Find the prime factorization of 4852

4852 = 2 x 2 x 1213

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

LCM = 5875772 = 2 x 2 x 7 x 173 x 1213

Step 4: Therefore, the least common multiple of 4844 and 4852 is 5875772.