Least Common Multiple of 7827 and 7833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7827 and 7833 the smallest integer that is 20436297 that is divisible by both numbers.

Least Common Multiple (LCM) of 7827 and 7833 is 20436297.

LCM(7827,7833) = 20436297

LCM of 7827 and 7833

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

LCM of:
and

Least Common Multiple of 7827 and 7833

LCM of 7827 and 7833 is 20436297

Least common multiple can be found by multiplying the highest exponent prime factors of 7827 and 7833. First we will calculate the prime factors of 7827 and 7833.

Prime Factorization of 7827


3 7827
2609 2609
1

Prime factors of 7827 are 3,2609. Prime factorization of 7827 in exponential form is:

7827 = 31×26091

Prime Factorization of 7833


3 7833
7 2611
373 373
1

Prime factors of 7833 are 3, 7,373. Prime factorization of 7833 in exponential form is:

7833 = 31×71×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 7827 and 7833.

LCM(7827,7833) = 31×71×3731×26091
LCM(7827,7833) = 20436297

Factors of 7827

List of positive integer factors of 7827 that divides 7827 without a remainder.

1, 3, 2609, 7827

Factors of 7833

List of positive integer factors of 7833 that divides 7833 without a remainder.

1, 3, 7, 21, 373, 1119, 2611, 7833

Least Common Multiple of 7827 and 7833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7827 and 7833, than apply into the LCM equation.

GCF(7827,7833) = 3
LCM(7827,7833) = ( 7827 × 7833) / 3
LCM(7827,7833) = 61308891 / 3
LCM(7827,7833) = 20436297

Properties of LCM 7827 and 7833

(i) The LCM of 7833 and 7827 is associative

LCM of 7827 and 7833 = LCM of 7833 and 7827

Related Least Common Multiples of 7827

Related Least Common Multiples of 7833

Frequently Asked Questions on LCM of 7827 and 7833

1. What is the LCM of 7827 and 7833?

Answer: LCM of 7827 and 7833 is 20436297.

2. What are the Factors of 7827?

Answer: Factors of 7827 are 1, 3, 2609, 7827. There are 4 integers that are factors of 7827. The greatest factor of 7827 is 7827.

3. What are the Factors of 7833?

Answer: Factors of 7833 are 1, 3, 7, 21, 373, 1119, 2611, 7833. There are 8 integers that are factors of 7833. The greatest factor of 7833 is 7833.

4. How to Find the LCM of 7827 and 7833?

Answer:

Least Common Multiple of 7827 and 7833 = 20436297

Step 1: Find the prime factorization of 7827

7827 = 3 x 2609

Step 2: Find the prime factorization of 7833

7833 = 3 x 7 x 373

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

LCM = 20436297 = 3 x 7 x 373 x 2609

Step 4: Therefore, the least common multiple of 7827 and 7833 is 20436297.