Least Common Multiple of 7112 and 7116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7112 and 7116 the smallest integer that is 12652248 that is divisible by both numbers.

Least Common Multiple (LCM) of 7112 and 7116 is 12652248.

LCM(7112,7116) = 12652248

LCM of 7112 and 7116

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

LCM of:
and

Least Common Multiple of 7112 and 7116

LCM of 7112 and 7116 is 12652248

Least common multiple can be found by multiplying the highest exponent prime factors of 7112 and 7116. First we will calculate the prime factors of 7112 and 7116.

Prime Factorization of 7112


2 7112
2 3556
2 1778
7 889
127 127
1

Prime factors of 7112 are 2, 7,127. Prime factorization of 7112 in exponential form is:

7112 = 23×71×1271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7112 and 7116.

LCM(7112,7116) = 23×31×71×1271×5931
LCM(7112,7116) = 12652248

Factors of 7112

List of positive integer factors of 7112 that divides 7112 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 127, 254, 508, 889, 1016, 1778, 3556, 7112

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

Least Common Multiple of 7112 and 7116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7112 and 7116, than apply into the LCM equation.

GCF(7112,7116) = 4
LCM(7112,7116) = ( 7112 × 7116) / 4
LCM(7112,7116) = 50608992 / 4
LCM(7112,7116) = 12652248

Properties of LCM 7112 and 7116

(i) The LCM of 7116 and 7112 is associative

LCM of 7112 and 7116 = LCM of 7116 and 7112

Related Least Common Multiples of 7112

Related Least Common Multiples of 7116

Frequently Asked Questions on LCM of 7112 and 7116

1. What is the LCM of 7112 and 7116?

Answer: LCM of 7112 and 7116 is 12652248.

2. What are the Factors of 7112?

Answer: Factors of 7112 are 1, 2, 4, 7, 8, 14, 28, 56, 127, 254, 508, 889, 1016, 1778, 3556, 7112. There are 16 integers that are factors of 7112. The greatest factor of 7112 is 7112.

3. 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.

4. How to Find the LCM of 7112 and 7116?

Answer:

Least Common Multiple of 7112 and 7116 = 12652248

Step 1: Find the prime factorization of 7112

7112 = 2 x 2 x 2 x 7 x 127

Step 2: Find the prime factorization of 7116

7116 = 2 x 2 x 3 x 593

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

LCM = 12652248 = 2 x 2 x 2 x 3 x 7 x 127 x 593

Step 4: Therefore, the least common multiple of 7112 and 7116 is 12652248.