Least Common Multiple of 2165 and 2172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2165 and 2172 the smallest integer that is 4702380 that is divisible by both numbers.

Least Common Multiple (LCM) of 2165 and 2172 is 4702380.

LCM(2165,2172) = 4702380

LCM of 2165 and 2172

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

LCM of:
and

Least Common Multiple of 2165 and 2172

LCM of 2165 and 2172 is 4702380

Least common multiple can be found by multiplying the highest exponent prime factors of 2165 and 2172. First we will calculate the prime factors of 2165 and 2172.

Prime Factorization of 2165


5 2165
433 433
1

Prime factors of 2165 are 5,433. Prime factorization of 2165 in exponential form is:

2165 = 51×4331

Prime Factorization of 2172


2 2172
2 1086
3 543
181 181
1

Prime factors of 2172 are 2, 3,181. Prime factorization of 2172 in exponential form is:

2172 = 22×31×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 2165 and 2172.

LCM(2165,2172) = 22×31×51×1811×4331
LCM(2165,2172) = 4702380

Factors of 2165

List of positive integer factors of 2165 that divides 2165 without a remainder.

1, 5, 433, 2165

Factors of 2172

List of positive integer factors of 2172 that divides 2172 without a remainder.

1, 2, 3, 4, 6, 12, 181, 362, 543, 724, 1086, 2172

Least Common Multiple of 2165 and 2172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2165 and 2172, than apply into the LCM equation.

GCF(2165,2172) = 1
LCM(2165,2172) = ( 2165 × 2172) / 1
LCM(2165,2172) = 4702380 / 1
LCM(2165,2172) = 4702380

Properties of LCM 2165 and 2172

(i) The LCM of 2172 and 2165 is associative

LCM of 2165 and 2172 = LCM of 2172 and 2165

Related Least Common Multiples of 2165

Related Least Common Multiples of 2172

Frequently Asked Questions on LCM of 2165 and 2172

1. What is the LCM of 2165 and 2172?

Answer: LCM of 2165 and 2172 is 4702380.

2. What are the Factors of 2165?

Answer: Factors of 2165 are 1, 5, 433, 2165. There are 4 integers that are factors of 2165. The greatest factor of 2165 is 2165.

3. What are the Factors of 2172?

Answer: Factors of 2172 are 1, 2, 3, 4, 6, 12, 181, 362, 543, 724, 1086, 2172. There are 12 integers that are factors of 2172. The greatest factor of 2172 is 2172.

4. How to Find the LCM of 2165 and 2172?

Answer:

Least Common Multiple of 2165 and 2172 = 4702380

Step 1: Find the prime factorization of 2165

2165 = 5 x 433

Step 2: Find the prime factorization of 2172

2172 = 2 x 2 x 3 x 181

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

LCM = 4702380 = 2 x 2 x 3 x 5 x 181 x 433

Step 4: Therefore, the least common multiple of 2165 and 2172 is 4702380.