Least Common Multiple of 2081 and 2088

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2081 and 2088 the smallest integer that is 4345128 that is divisible by both numbers.

Least Common Multiple (LCM) of 2081 and 2088 is 4345128.

LCM(2081,2088) = 4345128

LCM of 2081 and 2088

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

LCM of:
and

Least Common Multiple of 2081 and 2088

LCM of 2081 and 2088 is 4345128

Least common multiple can be found by multiplying the highest exponent prime factors of 2081 and 2088. First we will calculate the prime factors of 2081 and 2088.

Prime Factorization of 2081


2081 2081
1

Prime factors of 2081 are 2081. Prime factorization of 2081 in exponential form is:

2081 = 20811

Prime Factorization of 2088


2 2088
2 1044
2 522
3 261
3 87
29 29
1

Prime factors of 2088 are 2, 3,29. Prime factorization of 2088 in exponential form is:

2088 = 23×32×291

Now multiplying the highest exponent prime factors to calculate the LCM of 2081 and 2088.

LCM(2081,2088) = 23×32×291×20811
LCM(2081,2088) = 4345128

Factors of 2081

List of positive integer factors of 2081 that divides 2081 without a remainder.

1, 2081

Factors of 2088

List of positive integer factors of 2088 that divides 2088 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 29, 36, 58, 72, 87, 116, 174, 232, 261, 348, 522, 696, 1044, 2088

Least Common Multiple of 2081 and 2088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2081 and 2088, than apply into the LCM equation.

GCF(2081,2088) = 1
LCM(2081,2088) = ( 2081 × 2088) / 1
LCM(2081,2088) = 4345128 / 1
LCM(2081,2088) = 4345128

Properties of LCM 2081 and 2088

(i) The LCM of 2088 and 2081 is associative

LCM of 2081 and 2088 = LCM of 2088 and 2081

Related Least Common Multiples of 2081

Related Least Common Multiples of 2088

Frequently Asked Questions on LCM of 2081 and 2088

1. What is the LCM of 2081 and 2088?

Answer: LCM of 2081 and 2088 is 4345128.

2. What are the Factors of 2081?

Answer: Factors of 2081 are 1, 2081. There are 2 integers that are factors of 2081. The greatest factor of 2081 is 2081.

3. What are the Factors of 2088?

Answer: Factors of 2088 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 29, 36, 58, 72, 87, 116, 174, 232, 261, 348, 522, 696, 1044, 2088. There are 24 integers that are factors of 2088. The greatest factor of 2088 is 2088.

4. How to Find the LCM of 2081 and 2088?

Answer:

Least Common Multiple of 2081 and 2088 = 4345128

Step 1: Find the prime factorization of 2081

2081 = 2081

Step 2: Find the prime factorization of 2088

2088 = 2 x 2 x 2 x 3 x 3 x 29

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

LCM = 4345128 = 2 x 2 x 2 x 3 x 3 x 29 x 2081

Step 4: Therefore, the least common multiple of 2081 and 2088 is 4345128.