Least Common Multiple of 2084 and 2090

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 2090 the smallest integer that is 2177780 that is divisible by both numbers.

Least Common Multiple (LCM) of 2084 and 2090 is 2177780.

LCM(2084,2090) = 2177780

LCM of 2084 and 2090

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

LCM of:
and

Least Common Multiple of 2084 and 2090

LCM of 2084 and 2090 is 2177780

Least common multiple can be found by multiplying the highest exponent prime factors of 2084 and 2090. First we will calculate the prime factors of 2084 and 2090.

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 2090


2 2090
5 1045
11 209
19 19
1

Prime factors of 2090 are 2, 5, 11,19. Prime factorization of 2090 in exponential form is:

2090 = 21×51×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2084 and 2090.

LCM(2084,2090) = 22×51×111×191×5211
LCM(2084,2090) = 2177780

Factors of 2084

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

1, 2, 4, 521, 1042, 2084

Factors of 2090

List of positive integer factors of 2090 that divides 2090 without a remainder.

1, 2, 5, 10, 11, 19, 22, 38, 55, 95, 110, 190, 209, 418, 1045, 2090

Least Common Multiple of 2084 and 2090 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 2090, than apply into the LCM equation.

GCF(2084,2090) = 2
LCM(2084,2090) = ( 2084 × 2090) / 2
LCM(2084,2090) = 4355560 / 2
LCM(2084,2090) = 2177780

Properties of LCM 2084 and 2090

(i) The LCM of 2090 and 2084 is associative

LCM of 2084 and 2090 = LCM of 2090 and 2084

Related Least Common Multiples of 2084

Related Least Common Multiples of 2090

Frequently Asked Questions on LCM of 2084 and 2090

1. What is the LCM of 2084 and 2090?

Answer: LCM of 2084 and 2090 is 2177780.

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 2090?

Answer: Factors of 2090 are 1, 2, 5, 10, 11, 19, 22, 38, 55, 95, 110, 190, 209, 418, 1045, 2090. There are 16 integers that are factors of 2090. The greatest factor of 2090 is 2090.

4. How to Find the LCM of 2084 and 2090?

Answer:

Least Common Multiple of 2084 and 2090 = 2177780

Step 1: Find the prime factorization of 2084

2084 = 2 x 2 x 521

Step 2: Find the prime factorization of 2090

2090 = 2 x 5 x 11 x 19

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

LCM = 2177780 = 2 x 2 x 5 x 11 x 19 x 521

Step 4: Therefore, the least common multiple of 2084 and 2090 is 2177780.