Least Common Multiple of 4845 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 4845 and 4852 the smallest integer that is 23507940 that is divisible by both numbers.

Least Common Multiple (LCM) of 4845 and 4852 is 23507940.

LCM(4845,4852) = 23507940

LCM of 4845 and 4852

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

LCM of:
and

Least Common Multiple of 4845 and 4852

LCM of 4845 and 4852 is 23507940

Least common multiple can be found by multiplying the highest exponent prime factors of 4845 and 4852. First we will calculate the prime factors of 4845 and 4852.

Prime Factorization of 4845


3 4845
5 1615
17 323
19 19
1

Prime factors of 4845 are 3, 5, 17,19. Prime factorization of 4845 in exponential form is:

4845 = 31×51×171×191

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 4845 and 4852.

LCM(4845,4852) = 22×31×51×171×191×12131
LCM(4845,4852) = 23507940

Factors of 4845

List of positive integer factors of 4845 that divides 4845 without a remainder.

1, 3, 5, 15, 17, 19, 51, 57, 85, 95, 255, 285, 323, 969, 1615, 4845

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 4845 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 4845 and 4852, than apply into the LCM equation.

GCF(4845,4852) = 1
LCM(4845,4852) = ( 4845 × 4852) / 1
LCM(4845,4852) = 23507940 / 1
LCM(4845,4852) = 23507940

Properties of LCM 4845 and 4852

(i) The LCM of 4852 and 4845 is associative

LCM of 4845 and 4852 = LCM of 4852 and 4845

Related Least Common Multiples of 4845

Related Least Common Multiples of 4852

Frequently Asked Questions on LCM of 4845 and 4852

1. What is the LCM of 4845 and 4852?

Answer: LCM of 4845 and 4852 is 23507940.

2. What are the Factors of 4845?

Answer: Factors of 4845 are 1, 3, 5, 15, 17, 19, 51, 57, 85, 95, 255, 285, 323, 969, 1615, 4845. There are 16 integers that are factors of 4845. The greatest factor of 4845 is 4845.

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 4845 and 4852?

Answer:

Least Common Multiple of 4845 and 4852 = 23507940

Step 1: Find the prime factorization of 4845

4845 = 3 x 5 x 17 x 19

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 = 23507940 = 2 x 2 x 3 x 5 x 17 x 19 x 1213

Step 4: Therefore, the least common multiple of 4845 and 4852 is 23507940.