Least Common Multiple of 7160 and 7162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7160 and 7162 the smallest integer that is 25639960 that is divisible by both numbers.

Least Common Multiple (LCM) of 7160 and 7162 is 25639960.

LCM(7160,7162) = 25639960

LCM of 7160 and 7162

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

LCM of:
and

Least Common Multiple of 7160 and 7162

LCM of 7160 and 7162 is 25639960

Least common multiple can be found by multiplying the highest exponent prime factors of 7160 and 7162. First we will calculate the prime factors of 7160 and 7162.

Prime Factorization of 7160


2 7160
2 3580
2 1790
5 895
179 179
1

Prime factors of 7160 are 2, 5,179. Prime factorization of 7160 in exponential form is:

7160 = 23×51×1791

Prime Factorization of 7162


2 7162
3581 3581
1

Prime factors of 7162 are 2,3581. Prime factorization of 7162 in exponential form is:

7162 = 21×35811

Now multiplying the highest exponent prime factors to calculate the LCM of 7160 and 7162.

LCM(7160,7162) = 23×51×1791×35811
LCM(7160,7162) = 25639960

Factors of 7160

List of positive integer factors of 7160 that divides 7160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 179, 358, 716, 895, 1432, 1790, 3580, 7160

Factors of 7162

List of positive integer factors of 7162 that divides 7162 without a remainder.

1, 2, 3581, 7162

Least Common Multiple of 7160 and 7162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7160 and 7162, than apply into the LCM equation.

GCF(7160,7162) = 2
LCM(7160,7162) = ( 7160 × 7162) / 2
LCM(7160,7162) = 51279920 / 2
LCM(7160,7162) = 25639960

Properties of LCM 7160 and 7162

(i) The LCM of 7162 and 7160 is associative

LCM of 7160 and 7162 = LCM of 7162 and 7160

Related Least Common Multiples of 7160

Related Least Common Multiples of 7162

Frequently Asked Questions on LCM of 7160 and 7162

1. What is the LCM of 7160 and 7162?

Answer: LCM of 7160 and 7162 is 25639960.

2. What are the Factors of 7160?

Answer: Factors of 7160 are 1, 2, 4, 5, 8, 10, 20, 40, 179, 358, 716, 895, 1432, 1790, 3580, 7160. There are 16 integers that are factors of 7160. The greatest factor of 7160 is 7160.

3. What are the Factors of 7162?

Answer: Factors of 7162 are 1, 2, 3581, 7162. There are 4 integers that are factors of 7162. The greatest factor of 7162 is 7162.

4. How to Find the LCM of 7160 and 7162?

Answer:

Least Common Multiple of 7160 and 7162 = 25639960

Step 1: Find the prime factorization of 7160

7160 = 2 x 2 x 2 x 5 x 179

Step 2: Find the prime factorization of 7162

7162 = 2 x 3581

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

LCM = 25639960 = 2 x 2 x 2 x 5 x 179 x 3581

Step 4: Therefore, the least common multiple of 7160 and 7162 is 25639960.