Least Common Multiple of 1076 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 1076 and 1080 the smallest integer that is 290520 that is divisible by both numbers.

Least Common Multiple (LCM) of 1076 and 1080 is 290520.

LCM(1076,1080) = 290520

LCM of 1076 and 1080

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

LCM of:
and

Least Common Multiple of 1076 and 1080

LCM of 1076 and 1080 is 290520

Least common multiple can be found by multiplying the highest exponent prime factors of 1076 and 1080. First we will calculate the prime factors of 1076 and 1080.

Prime Factorization of 1076


2 1076
2 538
269 269
1

Prime factors of 1076 are 2,269. Prime factorization of 1076 in exponential form is:

1076 = 22×2691

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 1076 and 1080.

LCM(1076,1080) = 23×33×51×2691
LCM(1076,1080) = 290520

Factors of 1076

List of positive integer factors of 1076 that divides 1076 without a remainder.

1, 2, 4, 269, 538, 1076

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 1076 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 1076 and 1080, than apply into the LCM equation.

GCF(1076,1080) = 4
LCM(1076,1080) = ( 1076 × 1080) / 4
LCM(1076,1080) = 1162080 / 4
LCM(1076,1080) = 290520

Properties of LCM 1076 and 1080

(i) The LCM of 1080 and 1076 is associative

LCM of 1076 and 1080 = LCM of 1080 and 1076

Related Least Common Multiples of 1076

Related Least Common Multiples of 1080

Frequently Asked Questions on LCM of 1076 and 1080

1. What is the LCM of 1076 and 1080?

Answer: LCM of 1076 and 1080 is 290520.

2. What are the Factors of 1076?

Answer: Factors of 1076 are 1, 2, 4, 269, 538, 1076. There are 6 integers that are factors of 1076. The greatest factor of 1076 is 1076.

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 1076 and 1080?

Answer:

Least Common Multiple of 1076 and 1080 = 290520

Step 1: Find the prime factorization of 1076

1076 = 2 x 2 x 269

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 = 290520 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 269

Step 4: Therefore, the least common multiple of 1076 and 1080 is 290520.