Least Common Multiple of 7822 and 7828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7822 and 7828 the smallest integer that is 30615308 that is divisible by both numbers.

Least Common Multiple (LCM) of 7822 and 7828 is 30615308.

LCM(7822,7828) = 30615308

LCM of 7822 and 7828

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

LCM of:
and

Least Common Multiple of 7822 and 7828

LCM of 7822 and 7828 is 30615308

Least common multiple can be found by multiplying the highest exponent prime factors of 7822 and 7828. First we will calculate the prime factors of 7822 and 7828.

Prime Factorization of 7822


2 7822
3911 3911
1

Prime factors of 7822 are 2,3911. Prime factorization of 7822 in exponential form is:

7822 = 21×39111

Prime Factorization of 7828


2 7828
2 3914
19 1957
103 103
1

Prime factors of 7828 are 2, 19,103. Prime factorization of 7828 in exponential form is:

7828 = 22×191×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 7822 and 7828.

LCM(7822,7828) = 22×191×1031×39111
LCM(7822,7828) = 30615308

Factors of 7822

List of positive integer factors of 7822 that divides 7822 without a remainder.

1, 2, 3911, 7822

Factors of 7828

List of positive integer factors of 7828 that divides 7828 without a remainder.

1, 2, 4, 19, 38, 76, 103, 206, 412, 1957, 3914, 7828

Least Common Multiple of 7822 and 7828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7822 and 7828, than apply into the LCM equation.

GCF(7822,7828) = 2
LCM(7822,7828) = ( 7822 × 7828) / 2
LCM(7822,7828) = 61230616 / 2
LCM(7822,7828) = 30615308

Properties of LCM 7822 and 7828

(i) The LCM of 7828 and 7822 is associative

LCM of 7822 and 7828 = LCM of 7828 and 7822

Related Least Common Multiples of 7822

Related Least Common Multiples of 7828

Frequently Asked Questions on LCM of 7822 and 7828

1. What is the LCM of 7822 and 7828?

Answer: LCM of 7822 and 7828 is 30615308.

2. What are the Factors of 7822?

Answer: Factors of 7822 are 1, 2, 3911, 7822. There are 4 integers that are factors of 7822. The greatest factor of 7822 is 7822.

3. What are the Factors of 7828?

Answer: Factors of 7828 are 1, 2, 4, 19, 38, 76, 103, 206, 412, 1957, 3914, 7828. There are 12 integers that are factors of 7828. The greatest factor of 7828 is 7828.

4. How to Find the LCM of 7822 and 7828?

Answer:

Least Common Multiple of 7822 and 7828 = 30615308

Step 1: Find the prime factorization of 7822

7822 = 2 x 3911

Step 2: Find the prime factorization of 7828

7828 = 2 x 2 x 19 x 103

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

LCM = 30615308 = 2 x 2 x 19 x 103 x 3911

Step 4: Therefore, the least common multiple of 7822 and 7828 is 30615308.