Least Common Multiple of 7160 and 7166

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 7166 the smallest integer that is 25654280 that is divisible by both numbers.

Least Common Multiple (LCM) of 7160 and 7166 is 25654280.

LCM(7160,7166) = 25654280

LCM of 7160 and 7166

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

LCM of:
and

Least Common Multiple of 7160 and 7166

LCM of 7160 and 7166 is 25654280

Least common multiple can be found by multiplying the highest exponent prime factors of 7160 and 7166. First we will calculate the prime factors of 7160 and 7166.

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 7166


2 7166
3583 3583
1

Prime factors of 7166 are 2,3583. Prime factorization of 7166 in exponential form is:

7166 = 21×35831

Now multiplying the highest exponent prime factors to calculate the LCM of 7160 and 7166.

LCM(7160,7166) = 23×51×1791×35831
LCM(7160,7166) = 25654280

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 7166

List of positive integer factors of 7166 that divides 7166 without a remainder.

1, 2, 3583, 7166

Least Common Multiple of 7160 and 7166 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 7166, than apply into the LCM equation.

GCF(7160,7166) = 2
LCM(7160,7166) = ( 7160 × 7166) / 2
LCM(7160,7166) = 51308560 / 2
LCM(7160,7166) = 25654280

Properties of LCM 7160 and 7166

(i) The LCM of 7166 and 7160 is associative

LCM of 7160 and 7166 = LCM of 7166 and 7160

Related Least Common Multiples of 7160

Related Least Common Multiples of 7166

Frequently Asked Questions on LCM of 7160 and 7166

1. What is the LCM of 7160 and 7166?

Answer: LCM of 7160 and 7166 is 25654280.

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 7166?

Answer: Factors of 7166 are 1, 2, 3583, 7166. There are 4 integers that are factors of 7166. The greatest factor of 7166 is 7166.

4. How to Find the LCM of 7160 and 7166?

Answer:

Least Common Multiple of 7160 and 7166 = 25654280

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 7166

7166 = 2 x 3583

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

LCM = 25654280 = 2 x 2 x 2 x 5 x 179 x 3583

Step 4: Therefore, the least common multiple of 7160 and 7166 is 25654280.