Least Common Multiple of 2082 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 2082 and 2088 the smallest integer that is 724536 that is divisible by both numbers.

Least Common Multiple (LCM) of 2082 and 2088 is 724536.

LCM(2082,2088) = 724536

LCM of 2082 and 2088

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

LCM of:
and

Least Common Multiple of 2082 and 2088

LCM of 2082 and 2088 is 724536

Least common multiple can be found by multiplying the highest exponent prime factors of 2082 and 2088. First we will calculate the prime factors of 2082 and 2088.

Prime Factorization of 2082


2 2082
3 1041
347 347
1

Prime factors of 2082 are 2, 3,347. Prime factorization of 2082 in exponential form is:

2082 = 21×31×3471

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 2082 and 2088.

LCM(2082,2088) = 23×32×291×3471
LCM(2082,2088) = 724536

Factors of 2082

List of positive integer factors of 2082 that divides 2082 without a remainder.

1, 2, 3, 6, 347, 694, 1041, 2082

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 2082 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 2082 and 2088, than apply into the LCM equation.

GCF(2082,2088) = 6
LCM(2082,2088) = ( 2082 × 2088) / 6
LCM(2082,2088) = 4347216 / 6
LCM(2082,2088) = 724536

Properties of LCM 2082 and 2088

(i) The LCM of 2088 and 2082 is associative

LCM of 2082 and 2088 = LCM of 2088 and 2082

Related Least Common Multiples of 2082

Related Least Common Multiples of 2088

Frequently Asked Questions on LCM of 2082 and 2088

1. What is the LCM of 2082 and 2088?

Answer: LCM of 2082 and 2088 is 724536.

2. What are the Factors of 2082?

Answer: Factors of 2082 are 1, 2, 3, 6, 347, 694, 1041, 2082. There are 8 integers that are factors of 2082. The greatest factor of 2082 is 2082.

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 2082 and 2088?

Answer:

Least Common Multiple of 2082 and 2088 = 724536

Step 1: Find the prime factorization of 2082

2082 = 2 x 3 x 347

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 = 724536 = 2 x 2 x 2 x 3 x 3 x 29 x 347

Step 4: Therefore, the least common multiple of 2082 and 2088 is 724536.