Least Common Multiple of 7817 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 7817 and 7821 the smallest integer that is 61136757 that is divisible by both numbers.

Least Common Multiple (LCM) of 7817 and 7821 is 61136757.

LCM(7817,7821) = 61136757

LCM of 7817 and 7821

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

LCM of:
and

Least Common Multiple of 7817 and 7821

LCM of 7817 and 7821 is 61136757

Least common multiple can be found by multiplying the highest exponent prime factors of 7817 and 7821. First we will calculate the prime factors of 7817 and 7821.

Prime Factorization of 7817


7817 7817
1

Prime factors of 7817 are 7817. Prime factorization of 7817 in exponential form is:

7817 = 78171

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 7817 and 7821.

LCM(7817,7821) = 32×111×791×78171
LCM(7817,7821) = 61136757

Factors of 7817

List of positive integer factors of 7817 that divides 7817 without a remainder.

1, 7817

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 7817 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 7817 and 7821, than apply into the LCM equation.

GCF(7817,7821) = 1
LCM(7817,7821) = ( 7817 × 7821) / 1
LCM(7817,7821) = 61136757 / 1
LCM(7817,7821) = 61136757

Properties of LCM 7817 and 7821

(i) The LCM of 7821 and 7817 is associative

LCM of 7817 and 7821 = LCM of 7821 and 7817

Related Least Common Multiples of 7817

Related Least Common Multiples of 7821

Frequently Asked Questions on LCM of 7817 and 7821

1. What is the LCM of 7817 and 7821?

Answer: LCM of 7817 and 7821 is 61136757.

2. What are the Factors of 7817?

Answer: Factors of 7817 are 1, 7817. There are 2 integers that are factors of 7817. The greatest factor of 7817 is 7817.

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 7817 and 7821?

Answer:

Least Common Multiple of 7817 and 7821 = 61136757

Step 1: Find the prime factorization of 7817

7817 = 7817

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 = 61136757 = 3 x 3 x 11 x 79 x 7817

Step 4: Therefore, the least common multiple of 7817 and 7821 is 61136757.