Least Common Multiple of 7852 and 7858

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 7858 the smallest integer that is 30850508 that is divisible by both numbers.

Least Common Multiple (LCM) of 7852 and 7858 is 30850508.

LCM(7852,7858) = 30850508

LCM of 7852 and 7858

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

LCM of:
and

Least Common Multiple of 7852 and 7858

LCM of 7852 and 7858 is 30850508

Least common multiple can be found by multiplying the highest exponent prime factors of 7852 and 7858. First we will calculate the prime factors of 7852 and 7858.

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 7858


2 7858
3929 3929
1

Prime factors of 7858 are 2,3929. Prime factorization of 7858 in exponential form is:

7858 = 21×39291

Now multiplying the highest exponent prime factors to calculate the LCM of 7852 and 7858.

LCM(7852,7858) = 22×131×1511×39291
LCM(7852,7858) = 30850508

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 7858

List of positive integer factors of 7858 that divides 7858 without a remainder.

1, 2, 3929, 7858

Least Common Multiple of 7852 and 7858 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 7858, than apply into the LCM equation.

GCF(7852,7858) = 2
LCM(7852,7858) = ( 7852 × 7858) / 2
LCM(7852,7858) = 61701016 / 2
LCM(7852,7858) = 30850508

Properties of LCM 7852 and 7858

(i) The LCM of 7858 and 7852 is associative

LCM of 7852 and 7858 = LCM of 7858 and 7852

Related Least Common Multiples of 7852

Related Least Common Multiples of 7858

Frequently Asked Questions on LCM of 7852 and 7858

1. What is the LCM of 7852 and 7858?

Answer: LCM of 7852 and 7858 is 30850508.

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 7858?

Answer: Factors of 7858 are 1, 2, 3929, 7858. There are 4 integers that are factors of 7858. The greatest factor of 7858 is 7858.

4. How to Find the LCM of 7852 and 7858?

Answer:

Least Common Multiple of 7852 and 7858 = 30850508

Step 1: Find the prime factorization of 7852

7852 = 2 x 2 x 13 x 151

Step 2: Find the prime factorization of 7858

7858 = 2 x 3929

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

LCM = 30850508 = 2 x 2 x 13 x 151 x 3929

Step 4: Therefore, the least common multiple of 7852 and 7858 is 30850508.