Least Common Multiple of 7852 and 7856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7852 and 7856 the smallest integer that is 15421328 that is divisible by both numbers.

Least Common Multiple (LCM) of 7852 and 7856 is 15421328.

LCM(7852,7856) = 15421328

LCM of 7852 and 7856

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

LCM of:
and

Least Common Multiple of 7852 and 7856

LCM of 7852 and 7856 is 15421328

Least common multiple can be found by multiplying the highest exponent prime factors of 7852 and 7856. First we will calculate the prime factors of 7852 and 7856.

Prime Factorization of 7852


2 7852
2 3926
13 1963
151 151
1

Prime factors of 7852 are 2, 13,151. Prime factorization of 7852 in exponential form is:

7852 = 22×131×1511

Prime Factorization of 7856


2 7856
2 3928
2 1964
2 982
491 491
1

Prime factors of 7856 are 2,491. Prime factorization of 7856 in exponential form is:

7856 = 24×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 7852 and 7856.

LCM(7852,7856) = 24×131×1511×4911
LCM(7852,7856) = 15421328

Factors of 7852

List of positive integer factors of 7852 that divides 7852 without a remainder.

1, 2, 4, 13, 26, 52, 151, 302, 604, 1963, 3926, 7852

Factors of 7856

List of positive integer factors of 7856 that divides 7856 without a remainder.

1, 2, 4, 8, 16, 491, 982, 1964, 3928, 7856

Least Common Multiple of 7852 and 7856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7852 and 7856, than apply into the LCM equation.

GCF(7852,7856) = 4
LCM(7852,7856) = ( 7852 × 7856) / 4
LCM(7852,7856) = 61685312 / 4
LCM(7852,7856) = 15421328

Properties of LCM 7852 and 7856

(i) The LCM of 7856 and 7852 is associative

LCM of 7852 and 7856 = LCM of 7856 and 7852

Related Least Common Multiples of 7852

Related Least Common Multiples of 7856

Frequently Asked Questions on LCM of 7852 and 7856

1. What is the LCM of 7852 and 7856?

Answer: LCM of 7852 and 7856 is 15421328.

2. What are the Factors of 7852?

Answer: Factors of 7852 are 1, 2, 4, 13, 26, 52, 151, 302, 604, 1963, 3926, 7852. There are 12 integers that are factors of 7852. The greatest factor of 7852 is 7852.

3. What are the Factors of 7856?

Answer: Factors of 7856 are 1, 2, 4, 8, 16, 491, 982, 1964, 3928, 7856. There are 10 integers that are factors of 7856. The greatest factor of 7856 is 7856.

4. How to Find the LCM of 7852 and 7856?

Answer:

Least Common Multiple of 7852 and 7856 = 15421328

Step 1: Find the prime factorization of 7852

7852 = 2 x 2 x 13 x 151

Step 2: Find the prime factorization of 7856

7856 = 2 x 2 x 2 x 2 x 491

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

LCM = 15421328 = 2 x 2 x 2 x 2 x 13 x 151 x 491

Step 4: Therefore, the least common multiple of 7852 and 7856 is 15421328.