Least Common Multiple of 7116 and 7122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7116 and 7122 the smallest integer that is 8446692 that is divisible by both numbers.

Least Common Multiple (LCM) of 7116 and 7122 is 8446692.

LCM(7116,7122) = 8446692

LCM of 7116 and 7122

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

LCM of:
and

Least Common Multiple of 7116 and 7122

LCM of 7116 and 7122 is 8446692

Least common multiple can be found by multiplying the highest exponent prime factors of 7116 and 7122. First we will calculate the prime factors of 7116 and 7122.

Prime Factorization of 7116


2 7116
2 3558
3 1779
593 593
1

Prime factors of 7116 are 2, 3,593. Prime factorization of 7116 in exponential form is:

7116 = 22×31×5931

Prime Factorization of 7122


2 7122
3 3561
1187 1187
1

Prime factors of 7122 are 2, 3,1187. Prime factorization of 7122 in exponential form is:

7122 = 21×31×11871

Now multiplying the highest exponent prime factors to calculate the LCM of 7116 and 7122.

LCM(7116,7122) = 22×31×5931×11871
LCM(7116,7122) = 8446692

Factors of 7116

List of positive integer factors of 7116 that divides 7116 without a remainder.

1, 2, 3, 4, 6, 12, 593, 1186, 1779, 2372, 3558, 7116

Factors of 7122

List of positive integer factors of 7122 that divides 7122 without a remainder.

1, 2, 3, 6, 1187, 2374, 3561, 7122

Least Common Multiple of 7116 and 7122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7116 and 7122, than apply into the LCM equation.

GCF(7116,7122) = 6
LCM(7116,7122) = ( 7116 × 7122) / 6
LCM(7116,7122) = 50680152 / 6
LCM(7116,7122) = 8446692

Properties of LCM 7116 and 7122

(i) The LCM of 7122 and 7116 is associative

LCM of 7116 and 7122 = LCM of 7122 and 7116

Related Least Common Multiples of 7116

Related Least Common Multiples of 7122

Frequently Asked Questions on LCM of 7116 and 7122

1. What is the LCM of 7116 and 7122?

Answer: LCM of 7116 and 7122 is 8446692.

2. What are the Factors of 7116?

Answer: Factors of 7116 are 1, 2, 3, 4, 6, 12, 593, 1186, 1779, 2372, 3558, 7116. There are 12 integers that are factors of 7116. The greatest factor of 7116 is 7116.

3. What are the Factors of 7122?

Answer: Factors of 7122 are 1, 2, 3, 6, 1187, 2374, 3561, 7122. There are 8 integers that are factors of 7122. The greatest factor of 7122 is 7122.

4. How to Find the LCM of 7116 and 7122?

Answer:

Least Common Multiple of 7116 and 7122 = 8446692

Step 1: Find the prime factorization of 7116

7116 = 2 x 2 x 3 x 593

Step 2: Find the prime factorization of 7122

7122 = 2 x 3 x 1187

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

LCM = 8446692 = 2 x 2 x 3 x 593 x 1187

Step 4: Therefore, the least common multiple of 7116 and 7122 is 8446692.