Least Common Multiple of 7116 and 7120

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 7120 the smallest integer that is 12666480 that is divisible by both numbers.

Least Common Multiple (LCM) of 7116 and 7120 is 12666480.

LCM(7116,7120) = 12666480

LCM of 7116 and 7120

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

LCM of:
and

Least Common Multiple of 7116 and 7120

LCM of 7116 and 7120 is 12666480

Least common multiple can be found by multiplying the highest exponent prime factors of 7116 and 7120. First we will calculate the prime factors of 7116 and 7120.

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 7120


2 7120
2 3560
2 1780
2 890
5 445
89 89
1

Prime factors of 7120 are 2, 5,89. Prime factorization of 7120 in exponential form is:

7120 = 24×51×891

Now multiplying the highest exponent prime factors to calculate the LCM of 7116 and 7120.

LCM(7116,7120) = 24×31×51×891×5931
LCM(7116,7120) = 12666480

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 7120

List of positive integer factors of 7120 that divides 7120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 89, 178, 356, 445, 712, 890, 1424, 1780, 3560, 7120

Least Common Multiple of 7116 and 7120 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 7120, than apply into the LCM equation.

GCF(7116,7120) = 4
LCM(7116,7120) = ( 7116 × 7120) / 4
LCM(7116,7120) = 50665920 / 4
LCM(7116,7120) = 12666480

Properties of LCM 7116 and 7120

(i) The LCM of 7120 and 7116 is associative

LCM of 7116 and 7120 = LCM of 7120 and 7116

Related Least Common Multiples of 7116

Related Least Common Multiples of 7120

Frequently Asked Questions on LCM of 7116 and 7120

1. What is the LCM of 7116 and 7120?

Answer: LCM of 7116 and 7120 is 12666480.

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 7120?

Answer: Factors of 7120 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 89, 178, 356, 445, 712, 890, 1424, 1780, 3560, 7120. There are 20 integers that are factors of 7120. The greatest factor of 7120 is 7120.

4. How to Find the LCM of 7116 and 7120?

Answer:

Least Common Multiple of 7116 and 7120 = 12666480

Step 1: Find the prime factorization of 7116

7116 = 2 x 2 x 3 x 593

Step 2: Find the prime factorization of 7120

7120 = 2 x 2 x 2 x 2 x 5 x 89

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

LCM = 12666480 = 2 x 2 x 2 x 2 x 3 x 5 x 89 x 593

Step 4: Therefore, the least common multiple of 7116 and 7120 is 12666480.