Least Common Multiple of 4847 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 4847 and 4852 the smallest integer that is 23517644 that is divisible by both numbers.

Least Common Multiple (LCM) of 4847 and 4852 is 23517644.

LCM(4847,4852) = 23517644

LCM of 4847 and 4852

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

LCM of:
and

Least Common Multiple of 4847 and 4852

LCM of 4847 and 4852 is 23517644

Least common multiple can be found by multiplying the highest exponent prime factors of 4847 and 4852. First we will calculate the prime factors of 4847 and 4852.

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

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 4847 and 4852.

LCM(4847,4852) = 22×371×1311×12131
LCM(4847,4852) = 23517644

Factors of 4847

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

1, 37, 131, 4847

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 4847 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 4847 and 4852, than apply into the LCM equation.

GCF(4847,4852) = 1
LCM(4847,4852) = ( 4847 × 4852) / 1
LCM(4847,4852) = 23517644 / 1
LCM(4847,4852) = 23517644

Properties of LCM 4847 and 4852

(i) The LCM of 4852 and 4847 is associative

LCM of 4847 and 4852 = LCM of 4852 and 4847

Frequently Asked Questions on LCM of 4847 and 4852

1. What is the LCM of 4847 and 4852?

Answer: LCM of 4847 and 4852 is 23517644.

2. 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.

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 4847 and 4852?

Answer:

Least Common Multiple of 4847 and 4852 = 23517644

Step 1: Find the prime factorization of 4847

4847 = 37 x 131

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 = 23517644 = 2 x 2 x 37 x 131 x 1213

Step 4: Therefore, the least common multiple of 4847 and 4852 is 23517644.