Least Common Multiple of 7162 and 7167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7162 and 7167 the smallest integer that is 51330054 that is divisible by both numbers.

Least Common Multiple (LCM) of 7162 and 7167 is 51330054.

LCM(7162,7167) = 51330054

LCM of 7162 and 7167

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

LCM of:
and

Least Common Multiple of 7162 and 7167

LCM of 7162 and 7167 is 51330054

Least common multiple can be found by multiplying the highest exponent prime factors of 7162 and 7167. First we will calculate the prime factors of 7162 and 7167.

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

Prime Factorization of 7167


3 7167
2389 2389
1

Prime factors of 7167 are 3,2389. Prime factorization of 7167 in exponential form is:

7167 = 31×23891

Now multiplying the highest exponent prime factors to calculate the LCM of 7162 and 7167.

LCM(7162,7167) = 21×31×23891×35811
LCM(7162,7167) = 51330054

Factors of 7162

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

1, 2, 3581, 7162

Factors of 7167

List of positive integer factors of 7167 that divides 7167 without a remainder.

1, 3, 2389, 7167

Least Common Multiple of 7162 and 7167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7162 and 7167, than apply into the LCM equation.

GCF(7162,7167) = 1
LCM(7162,7167) = ( 7162 × 7167) / 1
LCM(7162,7167) = 51330054 / 1
LCM(7162,7167) = 51330054

Properties of LCM 7162 and 7167

(i) The LCM of 7167 and 7162 is associative

LCM of 7162 and 7167 = LCM of 7167 and 7162

Related Least Common Multiples of 7162

Related Least Common Multiples of 7167

Frequently Asked Questions on LCM of 7162 and 7167

1. What is the LCM of 7162 and 7167?

Answer: LCM of 7162 and 7167 is 51330054.

2. 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.

3. What are the Factors of 7167?

Answer: Factors of 7167 are 1, 3, 2389, 7167. There are 4 integers that are factors of 7167. The greatest factor of 7167 is 7167.

4. How to Find the LCM of 7162 and 7167?

Answer:

Least Common Multiple of 7162 and 7167 = 51330054

Step 1: Find the prime factorization of 7162

7162 = 2 x 3581

Step 2: Find the prime factorization of 7167

7167 = 3 x 2389

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

LCM = 51330054 = 2 x 3 x 2389 x 3581

Step 4: Therefore, the least common multiple of 7162 and 7167 is 51330054.