Least Common Multiple of 7816 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 7816 and 7821 the smallest integer that is 61128936 that is divisible by both numbers.

Least Common Multiple (LCM) of 7816 and 7821 is 61128936.

LCM(7816,7821) = 61128936

LCM of 7816 and 7821

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

LCM of:
and

Least Common Multiple of 7816 and 7821

LCM of 7816 and 7821 is 61128936

Least common multiple can be found by multiplying the highest exponent prime factors of 7816 and 7821. First we will calculate the prime factors of 7816 and 7821.

Prime Factorization of 7816


2 7816
2 3908
2 1954
977 977
1

Prime factors of 7816 are 2,977. Prime factorization of 7816 in exponential form is:

7816 = 23×9771

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 7816 and 7821.

LCM(7816,7821) = 23×32×111×791×9771
LCM(7816,7821) = 61128936

Factors of 7816

List of positive integer factors of 7816 that divides 7816 without a remainder.

1, 2, 4, 8, 977, 1954, 3908, 7816

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 7816 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 7816 and 7821, than apply into the LCM equation.

GCF(7816,7821) = 1
LCM(7816,7821) = ( 7816 × 7821) / 1
LCM(7816,7821) = 61128936 / 1
LCM(7816,7821) = 61128936

Properties of LCM 7816 and 7821

(i) The LCM of 7821 and 7816 is associative

LCM of 7816 and 7821 = LCM of 7821 and 7816

Related Least Common Multiples of 7816

Related Least Common Multiples of 7821

Frequently Asked Questions on LCM of 7816 and 7821

1. What is the LCM of 7816 and 7821?

Answer: LCM of 7816 and 7821 is 61128936.

2. What are the Factors of 7816?

Answer: Factors of 7816 are 1, 2, 4, 8, 977, 1954, 3908, 7816. There are 8 integers that are factors of 7816. The greatest factor of 7816 is 7816.

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 7816 and 7821?

Answer:

Least Common Multiple of 7816 and 7821 = 61128936

Step 1: Find the prime factorization of 7816

7816 = 2 x 2 x 2 x 977

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 = 61128936 = 2 x 2 x 2 x 3 x 3 x 11 x 79 x 977

Step 4: Therefore, the least common multiple of 7816 and 7821 is 61128936.