Least Common Multiple of 2079 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 2079 and 2084 the smallest integer that is 4332636 that is divisible by both numbers.

Least Common Multiple (LCM) of 2079 and 2084 is 4332636.

LCM(2079,2084) = 4332636

LCM of 2079 and 2084

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

LCM of:
and

Least Common Multiple of 2079 and 2084

LCM of 2079 and 2084 is 4332636

Least common multiple can be found by multiplying the highest exponent prime factors of 2079 and 2084. First we will calculate the prime factors of 2079 and 2084.

Prime Factorization of 2079


3 2079
3 693
3 231
7 77
11 11
1

Prime factors of 2079 are 3, 7,11. Prime factorization of 2079 in exponential form is:

2079 = 33×71×111

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 2079 and 2084.

LCM(2079,2084) = 22×33×71×111×5211
LCM(2079,2084) = 4332636

Factors of 2079

List of positive integer factors of 2079 that divides 2079 without a remainder.

1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 189, 231, 297, 693, 2079

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 2079 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 2079 and 2084, than apply into the LCM equation.

GCF(2079,2084) = 1
LCM(2079,2084) = ( 2079 × 2084) / 1
LCM(2079,2084) = 4332636 / 1
LCM(2079,2084) = 4332636

Properties of LCM 2079 and 2084

(i) The LCM of 2084 and 2079 is associative

LCM of 2079 and 2084 = LCM of 2084 and 2079

Related Least Common Multiples of 2079

Related Least Common Multiples of 2084

Frequently Asked Questions on LCM of 2079 and 2084

1. What is the LCM of 2079 and 2084?

Answer: LCM of 2079 and 2084 is 4332636.

2. What are the Factors of 2079?

Answer: Factors of 2079 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 189, 231, 297, 693, 2079. There are 16 integers that are factors of 2079. The greatest factor of 2079 is 2079.

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 2079 and 2084?

Answer:

Least Common Multiple of 2079 and 2084 = 4332636

Step 1: Find the prime factorization of 2079

2079 = 3 x 3 x 3 x 7 x 11

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 = 4332636 = 2 x 2 x 3 x 3 x 3 x 7 x 11 x 521

Step 4: Therefore, the least common multiple of 2079 and 2084 is 4332636.