Least Common Multiple of 7822 and 7827

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 7827 the smallest integer that is 61222794 that is divisible by both numbers.

Least Common Multiple (LCM) of 7822 and 7827 is 61222794.

LCM(7822,7827) = 61222794

LCM of 7822 and 7827

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

LCM of:
and

Least Common Multiple of 7822 and 7827

LCM of 7822 and 7827 is 61222794

Least common multiple can be found by multiplying the highest exponent prime factors of 7822 and 7827. First we will calculate the prime factors of 7822 and 7827.

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 7827


3 7827
2609 2609
1

Prime factors of 7827 are 3,2609. Prime factorization of 7827 in exponential form is:

7827 = 31×26091

Now multiplying the highest exponent prime factors to calculate the LCM of 7822 and 7827.

LCM(7822,7827) = 21×31×26091×39111
LCM(7822,7827) = 61222794

Factors of 7822

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

1, 2, 3911, 7822

Factors of 7827

List of positive integer factors of 7827 that divides 7827 without a remainder.

1, 3, 2609, 7827

Least Common Multiple of 7822 and 7827 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 7827, than apply into the LCM equation.

GCF(7822,7827) = 1
LCM(7822,7827) = ( 7822 × 7827) / 1
LCM(7822,7827) = 61222794 / 1
LCM(7822,7827) = 61222794

Properties of LCM 7822 and 7827

(i) The LCM of 7827 and 7822 is associative

LCM of 7822 and 7827 = LCM of 7827 and 7822

Related Least Common Multiples of 7822

Related Least Common Multiples of 7827

Frequently Asked Questions on LCM of 7822 and 7827

1. What is the LCM of 7822 and 7827?

Answer: LCM of 7822 and 7827 is 61222794.

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 7827?

Answer: Factors of 7827 are 1, 3, 2609, 7827. There are 4 integers that are factors of 7827. The greatest factor of 7827 is 7827.

4. How to Find the LCM of 7822 and 7827?

Answer:

Least Common Multiple of 7822 and 7827 = 61222794

Step 1: Find the prime factorization of 7822

7822 = 2 x 3911

Step 2: Find the prime factorization of 7827

7827 = 3 x 2609

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

LCM = 61222794 = 2 x 3 x 2609 x 3911

Step 4: Therefore, the least common multiple of 7822 and 7827 is 61222794.