Least Common Multiple of 4844 and 4847

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 4847 the smallest integer that is 23478868 that is divisible by both numbers.

Least Common Multiple (LCM) of 4844 and 4847 is 23478868.

LCM(4844,4847) = 23478868

LCM of 4844 and 4847

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

LCM of:
and

Least Common Multiple of 4844 and 4847

LCM of 4844 and 4847 is 23478868

Least common multiple can be found by multiplying the highest exponent prime factors of 4844 and 4847. First we will calculate the prime factors of 4844 and 4847.

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 4847


37 4847
131 131
1

Prime factors of 4847 are 37,131. Prime factorization of 4847 in exponential form is:

4847 = 371×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 4844 and 4847.

LCM(4844,4847) = 22×71×371×1311×1731
LCM(4844,4847) = 23478868

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 4847

List of positive integer factors of 4847 that divides 4847 without a remainder.

1, 37, 131, 4847

Least Common Multiple of 4844 and 4847 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 4847, than apply into the LCM equation.

GCF(4844,4847) = 1
LCM(4844,4847) = ( 4844 × 4847) / 1
LCM(4844,4847) = 23478868 / 1
LCM(4844,4847) = 23478868

Properties of LCM 4844 and 4847

(i) The LCM of 4847 and 4844 is associative

LCM of 4844 and 4847 = LCM of 4847 and 4844

Frequently Asked Questions on LCM of 4844 and 4847

1. What is the LCM of 4844 and 4847?

Answer: LCM of 4844 and 4847 is 23478868.

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 4847?

Answer: Factors of 4847 are 1, 37, 131, 4847. There are 4 integers that are factors of 4847. The greatest factor of 4847 is 4847.

4. How to Find the LCM of 4844 and 4847?

Answer:

Least Common Multiple of 4844 and 4847 = 23478868

Step 1: Find the prime factorization of 4844

4844 = 2 x 2 x 7 x 173

Step 2: Find the prime factorization of 4847

4847 = 37 x 131

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

LCM = 23478868 = 2 x 2 x 7 x 37 x 131 x 173

Step 4: Therefore, the least common multiple of 4844 and 4847 is 23478868.