Least Common Multiple of 2164 and 2165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2164 and 2165 the smallest integer that is 4685060 that is divisible by both numbers.

Least Common Multiple (LCM) of 2164 and 2165 is 4685060.

LCM(2164,2165) = 4685060

LCM of 2164 and 2165

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

LCM of:
and

Least Common Multiple of 2164 and 2165

LCM of 2164 and 2165 is 4685060

Least common multiple can be found by multiplying the highest exponent prime factors of 2164 and 2165. First we will calculate the prime factors of 2164 and 2165.

Prime Factorization of 2164


2 2164
2 1082
541 541
1

Prime factors of 2164 are 2,541. Prime factorization of 2164 in exponential form is:

2164 = 22×5411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2164 and 2165.

LCM(2164,2165) = 22×51×4331×5411
LCM(2164,2165) = 4685060

Factors of 2164

List of positive integer factors of 2164 that divides 2164 without a remainder.

1, 2, 4, 541, 1082, 2164

Factors of 2165

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

1, 5, 433, 2165

Least Common Multiple of 2164 and 2165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2164 and 2165, than apply into the LCM equation.

GCF(2164,2165) = 1
LCM(2164,2165) = ( 2164 × 2165) / 1
LCM(2164,2165) = 4685060 / 1
LCM(2164,2165) = 4685060

Properties of LCM 2164 and 2165

(i) The LCM of 2165 and 2164 is associative

LCM of 2164 and 2165 = LCM of 2165 and 2164

Related Least Common Multiples of 2164

Related Least Common Multiples of 2165

Frequently Asked Questions on LCM of 2164 and 2165

1. What is the LCM of 2164 and 2165?

Answer: LCM of 2164 and 2165 is 4685060.

2. What are the Factors of 2164?

Answer: Factors of 2164 are 1, 2, 4, 541, 1082, 2164. There are 6 integers that are factors of 2164. The greatest factor of 2164 is 2164.

3. 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.

4. How to Find the LCM of 2164 and 2165?

Answer:

Least Common Multiple of 2164 and 2165 = 4685060

Step 1: Find the prime factorization of 2164

2164 = 2 x 2 x 541

Step 2: Find the prime factorization of 2165

2165 = 5 x 433

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

LCM = 4685060 = 2 x 2 x 5 x 433 x 541

Step 4: Therefore, the least common multiple of 2164 and 2165 is 4685060.