Least Common Multiple of 7112 and 7118

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 7118 the smallest integer that is 25311608 that is divisible by both numbers.

Least Common Multiple (LCM) of 7112 and 7118 is 25311608.

LCM(7112,7118) = 25311608

LCM of 7112 and 7118

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

LCM of:
and

Least Common Multiple of 7112 and 7118

LCM of 7112 and 7118 is 25311608

Least common multiple can be found by multiplying the highest exponent prime factors of 7112 and 7118. First we will calculate the prime factors of 7112 and 7118.

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 7118


2 7118
3559 3559
1

Prime factors of 7118 are 2,3559. Prime factorization of 7118 in exponential form is:

7118 = 21×35591

Now multiplying the highest exponent prime factors to calculate the LCM of 7112 and 7118.

LCM(7112,7118) = 23×71×1271×35591
LCM(7112,7118) = 25311608

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 7118

List of positive integer factors of 7118 that divides 7118 without a remainder.

1, 2, 3559, 7118

Least Common Multiple of 7112 and 7118 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 7118, than apply into the LCM equation.

GCF(7112,7118) = 2
LCM(7112,7118) = ( 7112 × 7118) / 2
LCM(7112,7118) = 50623216 / 2
LCM(7112,7118) = 25311608

Properties of LCM 7112 and 7118

(i) The LCM of 7118 and 7112 is associative

LCM of 7112 and 7118 = LCM of 7118 and 7112

Related Least Common Multiples of 7112

Related Least Common Multiples of 7118

Frequently Asked Questions on LCM of 7112 and 7118

1. What is the LCM of 7112 and 7118?

Answer: LCM of 7112 and 7118 is 25311608.

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 7118?

Answer: Factors of 7118 are 1, 2, 3559, 7118. There are 4 integers that are factors of 7118. The greatest factor of 7118 is 7118.

4. How to Find the LCM of 7112 and 7118?

Answer:

Least Common Multiple of 7112 and 7118 = 25311608

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 7118

7118 = 2 x 3559

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

LCM = 25311608 = 2 x 2 x 2 x 7 x 127 x 3559

Step 4: Therefore, the least common multiple of 7112 and 7118 is 25311608.