Least Common Multiple of 1071 and 1077

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1071 and 1077 the smallest integer that is 384489 that is divisible by both numbers.

Least Common Multiple (LCM) of 1071 and 1077 is 384489.

LCM(1071,1077) = 384489

LCM of 1071 and 1077

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

LCM of:
and

Least Common Multiple of 1071 and 1077

LCM of 1071 and 1077 is 384489

Least common multiple can be found by multiplying the highest exponent prime factors of 1071 and 1077. First we will calculate the prime factors of 1071 and 1077.

Prime Factorization of 1071


3 1071
3 357
7 119
17 17
1

Prime factors of 1071 are 3, 7,17. Prime factorization of 1071 in exponential form is:

1071 = 32×71×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1071 and 1077.

LCM(1071,1077) = 32×71×171×3591
LCM(1071,1077) = 384489

Factors of 1071

List of positive integer factors of 1071 that divides 1071 without a remainder.

1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357, 1071

Factors of 1077

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

1, 3, 359, 1077

Least Common Multiple of 1071 and 1077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1071 and 1077, than apply into the LCM equation.

GCF(1071,1077) = 3
LCM(1071,1077) = ( 1071 × 1077) / 3
LCM(1071,1077) = 1153467 / 3
LCM(1071,1077) = 384489

Properties of LCM 1071 and 1077

(i) The LCM of 1077 and 1071 is associative

LCM of 1071 and 1077 = LCM of 1077 and 1071

Related Least Common Multiples of 1071

Related Least Common Multiples of 1077

Frequently Asked Questions on LCM of 1071 and 1077

1. What is the LCM of 1071 and 1077?

Answer: LCM of 1071 and 1077 is 384489.

2. What are the Factors of 1071?

Answer: Factors of 1071 are 1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357, 1071. There are 12 integers that are factors of 1071. The greatest factor of 1071 is 1071.

3. 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.

4. How to Find the LCM of 1071 and 1077?

Answer:

Least Common Multiple of 1071 and 1077 = 384489

Step 1: Find the prime factorization of 1071

1071 = 3 x 3 x 7 x 17

Step 2: Find the prime factorization of 1077

1077 = 3 x 359

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

LCM = 384489 = 3 x 3 x 7 x 17 x 359

Step 4: Therefore, the least common multiple of 1071 and 1077 is 384489.