Least Common Multiple of 1072 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 1072 and 1080 the smallest integer that is 144720 that is divisible by both numbers.

Least Common Multiple (LCM) of 1072 and 1080 is 144720.

LCM(1072,1080) = 144720

LCM of 1072 and 1080

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

LCM of:
and

Least Common Multiple of 1072 and 1080

LCM of 1072 and 1080 is 144720

Least common multiple can be found by multiplying the highest exponent prime factors of 1072 and 1080. First we will calculate the prime factors of 1072 and 1080.

Prime Factorization of 1072


2 1072
2 536
2 268
2 134
67 67
1

Prime factors of 1072 are 2,67. Prime factorization of 1072 in exponential form is:

1072 = 24×671

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 1072 and 1080.

LCM(1072,1080) = 24×33×51×671
LCM(1072,1080) = 144720

Factors of 1072

List of positive integer factors of 1072 that divides 1072 without a remainder.

1, 2, 4, 8, 16, 67, 134, 268, 536, 1072

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 1072 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 1072 and 1080, than apply into the LCM equation.

GCF(1072,1080) = 8
LCM(1072,1080) = ( 1072 × 1080) / 8
LCM(1072,1080) = 1157760 / 8
LCM(1072,1080) = 144720

Properties of LCM 1072 and 1080

(i) The LCM of 1080 and 1072 is associative

LCM of 1072 and 1080 = LCM of 1080 and 1072

Related Least Common Multiples of 1072

Related Least Common Multiples of 1080

Frequently Asked Questions on LCM of 1072 and 1080

1. What is the LCM of 1072 and 1080?

Answer: LCM of 1072 and 1080 is 144720.

2. What are the Factors of 1072?

Answer: Factors of 1072 are 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072. There are 10 integers that are factors of 1072. The greatest factor of 1072 is 1072.

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 1072 and 1080?

Answer:

Least Common Multiple of 1072 and 1080 = 144720

Step 1: Find the prime factorization of 1072

1072 = 2 x 2 x 2 x 2 x 67

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 = 144720 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 67

Step 4: Therefore, the least common multiple of 1072 and 1080 is 144720.