Least Common Multiple of 7158 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 7158 and 7166 the smallest integer that is 25647114 that is divisible by both numbers.

Least Common Multiple (LCM) of 7158 and 7166 is 25647114.

LCM(7158,7166) = 25647114

LCM of 7158 and 7166

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

LCM of:
and

Least Common Multiple of 7158 and 7166

LCM of 7158 and 7166 is 25647114

Least common multiple can be found by multiplying the highest exponent prime factors of 7158 and 7166. First we will calculate the prime factors of 7158 and 7166.

Prime Factorization of 7158


2 7158
3 3579
1193 1193
1

Prime factors of 7158 are 2, 3,1193. Prime factorization of 7158 in exponential form is:

7158 = 21×31×11931

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 7158 and 7166.

LCM(7158,7166) = 21×31×11931×35831
LCM(7158,7166) = 25647114

Factors of 7158

List of positive integer factors of 7158 that divides 7158 without a remainder.

1, 2, 3, 6, 1193, 2386, 3579, 7158

Factors of 7166

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

1, 2, 3583, 7166

Least Common Multiple of 7158 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 7158 and 7166, than apply into the LCM equation.

GCF(7158,7166) = 2
LCM(7158,7166) = ( 7158 × 7166) / 2
LCM(7158,7166) = 51294228 / 2
LCM(7158,7166) = 25647114

Properties of LCM 7158 and 7166

(i) The LCM of 7166 and 7158 is associative

LCM of 7158 and 7166 = LCM of 7166 and 7158

Related Least Common Multiples of 7158

Related Least Common Multiples of 7166

Frequently Asked Questions on LCM of 7158 and 7166

1. What is the LCM of 7158 and 7166?

Answer: LCM of 7158 and 7166 is 25647114.

2. What are the Factors of 7158?

Answer: Factors of 7158 are 1, 2, 3, 6, 1193, 2386, 3579, 7158. There are 8 integers that are factors of 7158. The greatest factor of 7158 is 7158.

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 7158 and 7166?

Answer:

Least Common Multiple of 7158 and 7166 = 25647114

Step 1: Find the prime factorization of 7158

7158 = 2 x 3 x 1193

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 = 25647114 = 2 x 3 x 1193 x 3583

Step 4: Therefore, the least common multiple of 7158 and 7166 is 25647114.