Least Common Multiple of 2084 and 2092

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 2092 the smallest integer that is 1089932 that is divisible by both numbers.

Least Common Multiple (LCM) of 2084 and 2092 is 1089932.

LCM(2084,2092) = 1089932

LCM of 2084 and 2092

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

LCM of:
and

Least Common Multiple of 2084 and 2092

LCM of 2084 and 2092 is 1089932

Least common multiple can be found by multiplying the highest exponent prime factors of 2084 and 2092. First we will calculate the prime factors of 2084 and 2092.

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 2092


2 2092
2 1046
523 523
1

Prime factors of 2092 are 2,523. Prime factorization of 2092 in exponential form is:

2092 = 22×5231

Now multiplying the highest exponent prime factors to calculate the LCM of 2084 and 2092.

LCM(2084,2092) = 22×5211×5231
LCM(2084,2092) = 1089932

Factors of 2084

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

1, 2, 4, 521, 1042, 2084

Factors of 2092

List of positive integer factors of 2092 that divides 2092 without a remainder.

1, 2, 4, 523, 1046, 2092

Least Common Multiple of 2084 and 2092 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 2092, than apply into the LCM equation.

GCF(2084,2092) = 4
LCM(2084,2092) = ( 2084 × 2092) / 4
LCM(2084,2092) = 4359728 / 4
LCM(2084,2092) = 1089932

Properties of LCM 2084 and 2092

(i) The LCM of 2092 and 2084 is associative

LCM of 2084 and 2092 = LCM of 2092 and 2084

Related Least Common Multiples of 2084

Related Least Common Multiples of 2092

Frequently Asked Questions on LCM of 2084 and 2092

1. What is the LCM of 2084 and 2092?

Answer: LCM of 2084 and 2092 is 1089932.

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 2092?

Answer: Factors of 2092 are 1, 2, 4, 523, 1046, 2092. There are 6 integers that are factors of 2092. The greatest factor of 2092 is 2092.

4. How to Find the LCM of 2084 and 2092?

Answer:

Least Common Multiple of 2084 and 2092 = 1089932

Step 1: Find the prime factorization of 2084

2084 = 2 x 2 x 521

Step 2: Find the prime factorization of 2092

2092 = 2 x 2 x 523

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

LCM = 1089932 = 2 x 2 x 521 x 523

Step 4: Therefore, the least common multiple of 2084 and 2092 is 1089932.