Least Common Multiple of 1077 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 1077 and 1080 the smallest integer that is 387720 that is divisible by both numbers.

Least Common Multiple (LCM) of 1077 and 1080 is 387720.

LCM(1077,1080) = 387720

LCM of 1077 and 1080

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

LCM of:
and

Least Common Multiple of 1077 and 1080

LCM of 1077 and 1080 is 387720

Least common multiple can be found by multiplying the highest exponent prime factors of 1077 and 1080. First we will calculate the prime factors of 1077 and 1080.

Prime Factorization of 1077


3 1077
359 359
1

Prime factors of 1077 are 3,359. Prime factorization of 1077 in exponential form is:

1077 = 31×3591

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 1077 and 1080.

LCM(1077,1080) = 23×33×51×3591
LCM(1077,1080) = 387720

Factors of 1077

List of positive integer factors of 1077 that divides 1077 without a remainder.

1, 3, 359, 1077

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 1077 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 1077 and 1080, than apply into the LCM equation.

GCF(1077,1080) = 3
LCM(1077,1080) = ( 1077 × 1080) / 3
LCM(1077,1080) = 1163160 / 3
LCM(1077,1080) = 387720

Properties of LCM 1077 and 1080

(i) The LCM of 1080 and 1077 is associative

LCM of 1077 and 1080 = LCM of 1080 and 1077

Related Least Common Multiples of 1077

Related Least Common Multiples of 1080

Frequently Asked Questions on LCM of 1077 and 1080

1. What is the LCM of 1077 and 1080?

Answer: LCM of 1077 and 1080 is 387720.

2. What are the Factors of 1077?

Answer: Factors of 1077 are 1, 3, 359, 1077. There are 4 integers that are factors of 1077. The greatest factor of 1077 is 1077.

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 1077 and 1080?

Answer:

Least Common Multiple of 1077 and 1080 = 387720

Step 1: Find the prime factorization of 1077

1077 = 3 x 359

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 = 387720 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 359

Step 4: Therefore, the least common multiple of 1077 and 1080 is 387720.