Least Common Multiple of 7105 and 7112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7105 and 7112 the smallest integer that is 7218680 that is divisible by both numbers.

Least Common Multiple (LCM) of 7105 and 7112 is 7218680.

LCM(7105,7112) = 7218680

LCM of 7105 and 7112

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

LCM of:
and

Least Common Multiple of 7105 and 7112

LCM of 7105 and 7112 is 7218680

Least common multiple can be found by multiplying the highest exponent prime factors of 7105 and 7112. First we will calculate the prime factors of 7105 and 7112.

Prime Factorization of 7105


5 7105
7 1421
7 203
29 29
1

Prime factors of 7105 are 5, 7,29. Prime factorization of 7105 in exponential form is:

7105 = 51×72×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7105 and 7112.

LCM(7105,7112) = 23×51×72×291×1271
LCM(7105,7112) = 7218680

Factors of 7105

List of positive integer factors of 7105 that divides 7105 without a remainder.

1, 5, 7, 29, 35, 49, 145, 203, 245, 1015, 1421, 7105

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

Least Common Multiple of 7105 and 7112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7105 and 7112, than apply into the LCM equation.

GCF(7105,7112) = 7
LCM(7105,7112) = ( 7105 × 7112) / 7
LCM(7105,7112) = 50530760 / 7
LCM(7105,7112) = 7218680

Properties of LCM 7105 and 7112

(i) The LCM of 7112 and 7105 is associative

LCM of 7105 and 7112 = LCM of 7112 and 7105

Related Least Common Multiples of 7105

Related Least Common Multiples of 7112

Frequently Asked Questions on LCM of 7105 and 7112

1. What is the LCM of 7105 and 7112?

Answer: LCM of 7105 and 7112 is 7218680.

2. What are the Factors of 7105?

Answer: Factors of 7105 are 1, 5, 7, 29, 35, 49, 145, 203, 245, 1015, 1421, 7105. There are 12 integers that are factors of 7105. The greatest factor of 7105 is 7105.

3. 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.

4. How to Find the LCM of 7105 and 7112?

Answer:

Least Common Multiple of 7105 and 7112 = 7218680

Step 1: Find the prime factorization of 7105

7105 = 5 x 7 x 7 x 29

Step 2: Find the prime factorization of 7112

7112 = 2 x 2 x 2 x 7 x 127

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

LCM = 7218680 = 2 x 2 x 2 x 5 x 7 x 7 x 29 x 127

Step 4: Therefore, the least common multiple of 7105 and 7112 is 7218680.