Least Common Multiple of 4080 and 4084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4080 and 4084 the smallest integer that is 4165680 that is divisible by both numbers.

Least Common Multiple (LCM) of 4080 and 4084 is 4165680.

LCM(4080,4084) = 4165680

LCM of 4080 and 4084

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

LCM of:
and

Least Common Multiple of 4080 and 4084

LCM of 4080 and 4084 is 4165680

Least common multiple can be found by multiplying the highest exponent prime factors of 4080 and 4084. First we will calculate the prime factors of 4080 and 4084.

Prime Factorization of 4080


2 4080
2 2040
2 1020
2 510
3 255
5 85
17 17
1

Prime factors of 4080 are 2, 3, 5,17. Prime factorization of 4080 in exponential form is:

4080 = 24×31×51×171

Prime Factorization of 4084


2 4084
2 2042
1021 1021
1

Prime factors of 4084 are 2,1021. Prime factorization of 4084 in exponential form is:

4084 = 22×10211

Now multiplying the highest exponent prime factors to calculate the LCM of 4080 and 4084.

LCM(4080,4084) = 24×31×51×171×10211
LCM(4080,4084) = 4165680

Factors of 4080

List of positive integer factors of 4080 that divides 4080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080

Factors of 4084

List of positive integer factors of 4084 that divides 4084 without a remainder.

1, 2, 4, 1021, 2042, 4084

Least Common Multiple of 4080 and 4084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4080 and 4084, than apply into the LCM equation.

GCF(4080,4084) = 4
LCM(4080,4084) = ( 4080 × 4084) / 4
LCM(4080,4084) = 16662720 / 4
LCM(4080,4084) = 4165680

Properties of LCM 4080 and 4084

(i) The LCM of 4084 and 4080 is associative

LCM of 4080 and 4084 = LCM of 4084 and 4080

Related Least Common Multiples of 4080

Related Least Common Multiples of 4084

Frequently Asked Questions on LCM of 4080 and 4084

1. What is the LCM of 4080 and 4084?

Answer: LCM of 4080 and 4084 is 4165680.

2. What are the Factors of 4080?

Answer: Factors of 4080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080. There are 40 integers that are factors of 4080. The greatest factor of 4080 is 4080.

3. What are the Factors of 4084?

Answer: Factors of 4084 are 1, 2, 4, 1021, 2042, 4084. There are 6 integers that are factors of 4084. The greatest factor of 4084 is 4084.

4. How to Find the LCM of 4080 and 4084?

Answer:

Least Common Multiple of 4080 and 4084 = 4165680

Step 1: Find the prime factorization of 4080

4080 = 2 x 2 x 2 x 2 x 3 x 5 x 17

Step 2: Find the prime factorization of 4084

4084 = 2 x 2 x 1021

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

LCM = 4165680 = 2 x 2 x 2 x 2 x 3 x 5 x 17 x 1021

Step 4: Therefore, the least common multiple of 4080 and 4084 is 4165680.