Least Common Multiple of 1080 and 1085

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1080 and 1085 the smallest integer that is 234360 that is divisible by both numbers.

Least Common Multiple (LCM) of 1080 and 1085 is 234360.

LCM(1080,1085) = 234360

LCM of 1080 and 1085

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

LCM of:
and

Least Common Multiple of 1080 and 1085

LCM of 1080 and 1085 is 234360

Least common multiple can be found by multiplying the highest exponent prime factors of 1080 and 1085. First we will calculate the prime factors of 1080 and 1085.

Prime Factorization of 1080


2 1080
2 540
2 270
3 135
3 45
3 15
5 5
1

Prime factors of 1080 are 2, 3,5. Prime factorization of 1080 in exponential form is:

1080 = 23×33×51

Prime Factorization of 1085


5 1085
7 217
31 31
1

Prime factors of 1085 are 5, 7,31. Prime factorization of 1085 in exponential form is:

1085 = 51×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1080 and 1085.

LCM(1080,1085) = 23×33×51×71×311
LCM(1080,1085) = 234360

Factors of 1080

List of positive integer factors of 1080 that divides 1080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080

Factors of 1085

List of positive integer factors of 1085 that divides 1085 without a remainder.

1, 5, 7, 31, 35, 155, 217, 1085

Least Common Multiple of 1080 and 1085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1080 and 1085, than apply into the LCM equation.

GCF(1080,1085) = 5
LCM(1080,1085) = ( 1080 × 1085) / 5
LCM(1080,1085) = 1171800 / 5
LCM(1080,1085) = 234360

Properties of LCM 1080 and 1085

(i) The LCM of 1085 and 1080 is associative

LCM of 1080 and 1085 = LCM of 1085 and 1080

Related Least Common Multiples of 1080

Related Least Common Multiples of 1085

Frequently Asked Questions on LCM of 1080 and 1085

1. What is the LCM of 1080 and 1085?

Answer: LCM of 1080 and 1085 is 234360.

2. What are the Factors of 1080?

Answer: Factors of 1080 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080. There are 32 integers that are factors of 1080. The greatest factor of 1080 is 1080.

3. What are the Factors of 1085?

Answer: Factors of 1085 are 1, 5, 7, 31, 35, 155, 217, 1085. There are 8 integers that are factors of 1085. The greatest factor of 1085 is 1085.

4. How to Find the LCM of 1080 and 1085?

Answer:

Least Common Multiple of 1080 and 1085 = 234360

Step 1: Find the prime factorization of 1080

1080 = 2 x 2 x 2 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 1085

1085 = 5 x 7 x 31

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

LCM = 234360 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 31

Step 4: Therefore, the least common multiple of 1080 and 1085 is 234360.