Least Common Multiple of 4080 and 4085

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 4085 the smallest integer that is 3333360 that is divisible by both numbers.

Least Common Multiple (LCM) of 4080 and 4085 is 3333360.

LCM(4080,4085) = 3333360

LCM of 4080 and 4085

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

LCM of:
and

Least Common Multiple of 4080 and 4085

LCM of 4080 and 4085 is 3333360

Least common multiple can be found by multiplying the highest exponent prime factors of 4080 and 4085. First we will calculate the prime factors of 4080 and 4085.

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 4085


5 4085
19 817
43 43
1

Prime factors of 4085 are 5, 19,43. Prime factorization of 4085 in exponential form is:

4085 = 51×191×431

Now multiplying the highest exponent prime factors to calculate the LCM of 4080 and 4085.

LCM(4080,4085) = 24×31×51×171×191×431
LCM(4080,4085) = 3333360

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 4085

List of positive integer factors of 4085 that divides 4085 without a remainder.

1, 5, 19, 43, 95, 215, 817, 4085

Least Common Multiple of 4080 and 4085 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 4085, than apply into the LCM equation.

GCF(4080,4085) = 5
LCM(4080,4085) = ( 4080 × 4085) / 5
LCM(4080,4085) = 16666800 / 5
LCM(4080,4085) = 3333360

Properties of LCM 4080 and 4085

(i) The LCM of 4085 and 4080 is associative

LCM of 4080 and 4085 = LCM of 4085 and 4080

Related Least Common Multiples of 4080

Related Least Common Multiples of 4085

Frequently Asked Questions on LCM of 4080 and 4085

1. What is the LCM of 4080 and 4085?

Answer: LCM of 4080 and 4085 is 3333360.

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 4085?

Answer: Factors of 4085 are 1, 5, 19, 43, 95, 215, 817, 4085. There are 8 integers that are factors of 4085. The greatest factor of 4085 is 4085.

4. How to Find the LCM of 4080 and 4085?

Answer:

Least Common Multiple of 4080 and 4085 = 3333360

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 4085

4085 = 5 x 19 x 43

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

LCM = 3333360 = 2 x 2 x 2 x 2 x 3 x 5 x 17 x 19 x 43

Step 4: Therefore, the least common multiple of 4080 and 4085 is 3333360.