Least Common Multiple of 1075 and 1080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1075 and 1080 the smallest integer that is 232200 that is divisible by both numbers.

Least Common Multiple (LCM) of 1075 and 1080 is 232200.

LCM(1075,1080) = 232200

LCM of 1075 and 1080

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

LCM of:
and

Least Common Multiple of 1075 and 1080

LCM of 1075 and 1080 is 232200

Least common multiple can be found by multiplying the highest exponent prime factors of 1075 and 1080. First we will calculate the prime factors of 1075 and 1080.

Prime Factorization of 1075


5 1075
5 215
43 43
1

Prime factors of 1075 are 5,43. Prime factorization of 1075 in exponential form is:

1075 = 52×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1075 and 1080.

LCM(1075,1080) = 23×33×52×431
LCM(1075,1080) = 232200

Factors of 1075

List of positive integer factors of 1075 that divides 1075 without a remainder.

1, 5, 25, 43, 215, 1075

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

Least Common Multiple of 1075 and 1080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1075 and 1080, than apply into the LCM equation.

GCF(1075,1080) = 5
LCM(1075,1080) = ( 1075 × 1080) / 5
LCM(1075,1080) = 1161000 / 5
LCM(1075,1080) = 232200

Properties of LCM 1075 and 1080

(i) The LCM of 1080 and 1075 is associative

LCM of 1075 and 1080 = LCM of 1080 and 1075

Related Least Common Multiples of 1075

Related Least Common Multiples of 1080

Frequently Asked Questions on LCM of 1075 and 1080

1. What is the LCM of 1075 and 1080?

Answer: LCM of 1075 and 1080 is 232200.

2. What are the Factors of 1075?

Answer: Factors of 1075 are 1, 5, 25, 43, 215, 1075. There are 6 integers that are factors of 1075. The greatest factor of 1075 is 1075.

3. 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.

4. How to Find the LCM of 1075 and 1080?

Answer:

Least Common Multiple of 1075 and 1080 = 232200

Step 1: Find the prime factorization of 1075

1075 = 5 x 5 x 43

Step 2: Find the prime factorization of 1080

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

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

LCM = 232200 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 43

Step 4: Therefore, the least common multiple of 1075 and 1080 is 232200.