Least Common Multiple of 7158 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 7158 and 7162 the smallest integer that is 25632798 that is divisible by both numbers.

Least Common Multiple (LCM) of 7158 and 7162 is 25632798.

LCM(7158,7162) = 25632798

LCM of 7158 and 7162

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

LCM of:
and

Least Common Multiple of 7158 and 7162

LCM of 7158 and 7162 is 25632798

Least common multiple can be found by multiplying the highest exponent prime factors of 7158 and 7162. First we will calculate the prime factors of 7158 and 7162.

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 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 7158 and 7162.

LCM(7158,7162) = 21×31×11931×35811
LCM(7158,7162) = 25632798

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 7162

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

1, 2, 3581, 7162

Least Common Multiple of 7158 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 7158 and 7162, than apply into the LCM equation.

GCF(7158,7162) = 2
LCM(7158,7162) = ( 7158 × 7162) / 2
LCM(7158,7162) = 51265596 / 2
LCM(7158,7162) = 25632798

Properties of LCM 7158 and 7162

(i) The LCM of 7162 and 7158 is associative

LCM of 7158 and 7162 = LCM of 7162 and 7158

Related Least Common Multiples of 7158

Related Least Common Multiples of 7162

Frequently Asked Questions on LCM of 7158 and 7162

1. What is the LCM of 7158 and 7162?

Answer: LCM of 7158 and 7162 is 25632798.

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 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 7158 and 7162?

Answer:

Least Common Multiple of 7158 and 7162 = 25632798

Step 1: Find the prime factorization of 7158

7158 = 2 x 3 x 1193

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 = 25632798 = 2 x 3 x 1193 x 3581

Step 4: Therefore, the least common multiple of 7158 and 7162 is 25632798.