Least Common Multiple of 7816 and 7822

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 7822 the smallest integer that is 30568376 that is divisible by both numbers.

Least Common Multiple (LCM) of 7816 and 7822 is 30568376.

LCM(7816,7822) = 30568376

LCM of 7816 and 7822

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

LCM of:
and

Least Common Multiple of 7816 and 7822

LCM of 7816 and 7822 is 30568376

Least common multiple can be found by multiplying the highest exponent prime factors of 7816 and 7822. First we will calculate the prime factors of 7816 and 7822.

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 7822


2 7822
3911 3911
1

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

7822 = 21×39111

Now multiplying the highest exponent prime factors to calculate the LCM of 7816 and 7822.

LCM(7816,7822) = 23×9771×39111
LCM(7816,7822) = 30568376

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 7822

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

1, 2, 3911, 7822

Least Common Multiple of 7816 and 7822 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 7822, than apply into the LCM equation.

GCF(7816,7822) = 2
LCM(7816,7822) = ( 7816 × 7822) / 2
LCM(7816,7822) = 61136752 / 2
LCM(7816,7822) = 30568376

Properties of LCM 7816 and 7822

(i) The LCM of 7822 and 7816 is associative

LCM of 7816 and 7822 = LCM of 7822 and 7816

Related Least Common Multiples of 7816

Related Least Common Multiples of 7822

Frequently Asked Questions on LCM of 7816 and 7822

1. What is the LCM of 7816 and 7822?

Answer: LCM of 7816 and 7822 is 30568376.

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 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.

4. How to Find the LCM of 7816 and 7822?

Answer:

Least Common Multiple of 7816 and 7822 = 30568376

Step 1: Find the prime factorization of 7816

7816 = 2 x 2 x 2 x 977

Step 2: Find the prime factorization of 7822

7822 = 2 x 3911

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

LCM = 30568376 = 2 x 2 x 2 x 977 x 3911

Step 4: Therefore, the least common multiple of 7816 and 7822 is 30568376.