Least Common Multiple of 1073 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 1073 and 1080 the smallest integer that is 1158840 that is divisible by both numbers.

Least Common Multiple (LCM) of 1073 and 1080 is 1158840.

LCM(1073,1080) = 1158840

LCM of 1073 and 1080

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

LCM of:
and

Least Common Multiple of 1073 and 1080

LCM of 1073 and 1080 is 1158840

Least common multiple can be found by multiplying the highest exponent prime factors of 1073 and 1080. First we will calculate the prime factors of 1073 and 1080.

Prime Factorization of 1073


29 1073
37 37
1

Prime factors of 1073 are 29,37. Prime factorization of 1073 in exponential form is:

1073 = 291×371

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 1073 and 1080.

LCM(1073,1080) = 23×33×51×291×371
LCM(1073,1080) = 1158840

Factors of 1073

List of positive integer factors of 1073 that divides 1073 without a remainder.

1, 29, 37, 1073

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 1073 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 1073 and 1080, than apply into the LCM equation.

GCF(1073,1080) = 1
LCM(1073,1080) = ( 1073 × 1080) / 1
LCM(1073,1080) = 1158840 / 1
LCM(1073,1080) = 1158840

Properties of LCM 1073 and 1080

(i) The LCM of 1080 and 1073 is associative

LCM of 1073 and 1080 = LCM of 1080 and 1073

Related Least Common Multiples of 1073

Related Least Common Multiples of 1080

Frequently Asked Questions on LCM of 1073 and 1080

1. What is the LCM of 1073 and 1080?

Answer: LCM of 1073 and 1080 is 1158840.

2. What are the Factors of 1073?

Answer: Factors of 1073 are 1, 29, 37, 1073. There are 4 integers that are factors of 1073. The greatest factor of 1073 is 1073.

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 1073 and 1080?

Answer:

Least Common Multiple of 1073 and 1080 = 1158840

Step 1: Find the prime factorization of 1073

1073 = 29 x 37

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 = 1158840 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 29 x 37

Step 4: Therefore, the least common multiple of 1073 and 1080 is 1158840.