Least Common Multiple of 2076 and 2084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2076 and 2084 the smallest integer that is 1081596 that is divisible by both numbers.

Least Common Multiple (LCM) of 2076 and 2084 is 1081596.

LCM(2076,2084) = 1081596

LCM of 2076 and 2084

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

LCM of:
and

Least Common Multiple of 2076 and 2084

LCM of 2076 and 2084 is 1081596

Least common multiple can be found by multiplying the highest exponent prime factors of 2076 and 2084. First we will calculate the prime factors of 2076 and 2084.

Prime Factorization of 2076


2 2076
2 1038
3 519
173 173
1

Prime factors of 2076 are 2, 3,173. Prime factorization of 2076 in exponential form is:

2076 = 22×31×1731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2076 and 2084.

LCM(2076,2084) = 22×31×1731×5211
LCM(2076,2084) = 1081596

Factors of 2076

List of positive integer factors of 2076 that divides 2076 without a remainder.

1, 2, 3, 4, 6, 12, 173, 346, 519, 692, 1038, 2076

Factors of 2084

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

1, 2, 4, 521, 1042, 2084

Least Common Multiple of 2076 and 2084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2076 and 2084, than apply into the LCM equation.

GCF(2076,2084) = 4
LCM(2076,2084) = ( 2076 × 2084) / 4
LCM(2076,2084) = 4326384 / 4
LCM(2076,2084) = 1081596

Properties of LCM 2076 and 2084

(i) The LCM of 2084 and 2076 is associative

LCM of 2076 and 2084 = LCM of 2084 and 2076

Related Least Common Multiples of 2076

Related Least Common Multiples of 2084

Frequently Asked Questions on LCM of 2076 and 2084

1. What is the LCM of 2076 and 2084?

Answer: LCM of 2076 and 2084 is 1081596.

2. What are the Factors of 2076?

Answer: Factors of 2076 are 1, 2, 3, 4, 6, 12, 173, 346, 519, 692, 1038, 2076. There are 12 integers that are factors of 2076. The greatest factor of 2076 is 2076.

3. 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.

4. How to Find the LCM of 2076 and 2084?

Answer:

Least Common Multiple of 2076 and 2084 = 1081596

Step 1: Find the prime factorization of 2076

2076 = 2 x 2 x 3 x 173

Step 2: Find the prime factorization of 2084

2084 = 2 x 2 x 521

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

LCM = 1081596 = 2 x 2 x 3 x 173 x 521

Step 4: Therefore, the least common multiple of 2076 and 2084 is 1081596.