Least Common Multiple of 7815 and 7821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7815 and 7821 the smallest integer that is 20373705 that is divisible by both numbers.

Least Common Multiple (LCM) of 7815 and 7821 is 20373705.

LCM(7815,7821) = 20373705

LCM of 7815 and 7821

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

LCM of:
and

Least Common Multiple of 7815 and 7821

LCM of 7815 and 7821 is 20373705

Least common multiple can be found by multiplying the highest exponent prime factors of 7815 and 7821. First we will calculate the prime factors of 7815 and 7821.

Prime Factorization of 7815


3 7815
5 2605
521 521
1

Prime factors of 7815 are 3, 5,521. Prime factorization of 7815 in exponential form is:

7815 = 31×51×5211

Prime Factorization of 7821


3 7821
3 2607
11 869
79 79
1

Prime factors of 7821 are 3, 11,79. Prime factorization of 7821 in exponential form is:

7821 = 32×111×791

Now multiplying the highest exponent prime factors to calculate the LCM of 7815 and 7821.

LCM(7815,7821) = 32×51×111×791×5211
LCM(7815,7821) = 20373705

Factors of 7815

List of positive integer factors of 7815 that divides 7815 without a remainder.

1, 3, 5, 15, 521, 1563, 2605, 7815

Factors of 7821

List of positive integer factors of 7821 that divides 7821 without a remainder.

1, 3, 9, 11, 33, 79, 99, 237, 711, 869, 2607, 7821

Least Common Multiple of 7815 and 7821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7815 and 7821, than apply into the LCM equation.

GCF(7815,7821) = 3
LCM(7815,7821) = ( 7815 × 7821) / 3
LCM(7815,7821) = 61121115 / 3
LCM(7815,7821) = 20373705

Properties of LCM 7815 and 7821

(i) The LCM of 7821 and 7815 is associative

LCM of 7815 and 7821 = LCM of 7821 and 7815

Related Least Common Multiples of 7815

Related Least Common Multiples of 7821

Frequently Asked Questions on LCM of 7815 and 7821

1. What is the LCM of 7815 and 7821?

Answer: LCM of 7815 and 7821 is 20373705.

2. What are the Factors of 7815?

Answer: Factors of 7815 are 1, 3, 5, 15, 521, 1563, 2605, 7815. There are 8 integers that are factors of 7815. The greatest factor of 7815 is 7815.

3. What are the Factors of 7821?

Answer: Factors of 7821 are 1, 3, 9, 11, 33, 79, 99, 237, 711, 869, 2607, 7821. There are 12 integers that are factors of 7821. The greatest factor of 7821 is 7821.

4. How to Find the LCM of 7815 and 7821?

Answer:

Least Common Multiple of 7815 and 7821 = 20373705

Step 1: Find the prime factorization of 7815

7815 = 3 x 5 x 521

Step 2: Find the prime factorization of 7821

7821 = 3 x 3 x 11 x 79

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

LCM = 20373705 = 3 x 3 x 5 x 11 x 79 x 521

Step 4: Therefore, the least common multiple of 7815 and 7821 is 20373705.