Least Common Multiple of 2084 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 2084 and 2088 the smallest integer that is 1087848 that is divisible by both numbers.

Least Common Multiple (LCM) of 2084 and 2088 is 1087848.

LCM(2084,2088) = 1087848

LCM of 2084 and 2088

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

LCM of:
and

Least Common Multiple of 2084 and 2088

LCM of 2084 and 2088 is 1087848

Least common multiple can be found by multiplying the highest exponent prime factors of 2084 and 2088. First we will calculate the prime factors of 2084 and 2088.

Prime Factorization of 2084


2 2084
2 1042
521 521
1

Prime factors of 2084 are 2,521. Prime factorization of 2084 in exponential form is:

2084 = 22×5211

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 2084 and 2088.

LCM(2084,2088) = 23×32×291×5211
LCM(2084,2088) = 1087848

Factors of 2084

List of positive integer factors of 2084 that divides 2084 without a remainder.

1, 2, 4, 521, 1042, 2084

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 2084 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 2084 and 2088, than apply into the LCM equation.

GCF(2084,2088) = 4
LCM(2084,2088) = ( 2084 × 2088) / 4
LCM(2084,2088) = 4351392 / 4
LCM(2084,2088) = 1087848

Properties of LCM 2084 and 2088

(i) The LCM of 2088 and 2084 is associative

LCM of 2084 and 2088 = LCM of 2088 and 2084

Related Least Common Multiples of 2084

Related Least Common Multiples of 2088

Frequently Asked Questions on LCM of 2084 and 2088

1. What is the LCM of 2084 and 2088?

Answer: LCM of 2084 and 2088 is 1087848.

2. What are the Factors of 2084?

Answer: Factors of 2084 are 1, 2, 4, 521, 1042, 2084. There are 6 integers that are factors of 2084. The greatest factor of 2084 is 2084.

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 2084 and 2088?

Answer:

Least Common Multiple of 2084 and 2088 = 1087848

Step 1: Find the prime factorization of 2084

2084 = 2 x 2 x 521

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 = 1087848 = 2 x 2 x 2 x 3 x 3 x 29 x 521

Step 4: Therefore, the least common multiple of 2084 and 2088 is 1087848.