Least Common Multiple of 7165 and 7172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7165 and 7172 the smallest integer that is 51387380 that is divisible by both numbers.

Least Common Multiple (LCM) of 7165 and 7172 is 51387380.

LCM(7165,7172) = 51387380

LCM of 7165 and 7172

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

LCM of:
and

Least Common Multiple of 7165 and 7172

LCM of 7165 and 7172 is 51387380

Least common multiple can be found by multiplying the highest exponent prime factors of 7165 and 7172. First we will calculate the prime factors of 7165 and 7172.

Prime Factorization of 7165


5 7165
1433 1433
1

Prime factors of 7165 are 5,1433. Prime factorization of 7165 in exponential form is:

7165 = 51×14331

Prime Factorization of 7172


2 7172
2 3586
11 1793
163 163
1

Prime factors of 7172 are 2, 11,163. Prime factorization of 7172 in exponential form is:

7172 = 22×111×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 7165 and 7172.

LCM(7165,7172) = 22×51×111×1631×14331
LCM(7165,7172) = 51387380

Factors of 7165

List of positive integer factors of 7165 that divides 7165 without a remainder.

1, 5, 1433, 7165

Factors of 7172

List of positive integer factors of 7172 that divides 7172 without a remainder.

1, 2, 4, 11, 22, 44, 163, 326, 652, 1793, 3586, 7172

Least Common Multiple of 7165 and 7172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7165 and 7172, than apply into the LCM equation.

GCF(7165,7172) = 1
LCM(7165,7172) = ( 7165 × 7172) / 1
LCM(7165,7172) = 51387380 / 1
LCM(7165,7172) = 51387380

Properties of LCM 7165 and 7172

(i) The LCM of 7172 and 7165 is associative

LCM of 7165 and 7172 = LCM of 7172 and 7165

Related Least Common Multiples of 7165

Related Least Common Multiples of 7172

Frequently Asked Questions on LCM of 7165 and 7172

1. What is the LCM of 7165 and 7172?

Answer: LCM of 7165 and 7172 is 51387380.

2. What are the Factors of 7165?

Answer: Factors of 7165 are 1, 5, 1433, 7165. There are 4 integers that are factors of 7165. The greatest factor of 7165 is 7165.

3. What are the Factors of 7172?

Answer: Factors of 7172 are 1, 2, 4, 11, 22, 44, 163, 326, 652, 1793, 3586, 7172. There are 12 integers that are factors of 7172. The greatest factor of 7172 is 7172.

4. How to Find the LCM of 7165 and 7172?

Answer:

Least Common Multiple of 7165 and 7172 = 51387380

Step 1: Find the prime factorization of 7165

7165 = 5 x 1433

Step 2: Find the prime factorization of 7172

7172 = 2 x 2 x 11 x 163

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

LCM = 51387380 = 2 x 2 x 5 x 11 x 163 x 1433

Step 4: Therefore, the least common multiple of 7165 and 7172 is 51387380.