Least Common Multiple of 1077 and 1082

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 1082 the smallest integer that is 1165314 that is divisible by both numbers.

Least Common Multiple (LCM) of 1077 and 1082 is 1165314.

LCM(1077,1082) = 1165314

LCM of 1077 and 1082

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

LCM of:
and

Least Common Multiple of 1077 and 1082

LCM of 1077 and 1082 is 1165314

Least common multiple can be found by multiplying the highest exponent prime factors of 1077 and 1082. First we will calculate the prime factors of 1077 and 1082.

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 1082


2 1082
541 541
1

Prime factors of 1082 are 2,541. Prime factorization of 1082 in exponential form is:

1082 = 21×5411

Now multiplying the highest exponent prime factors to calculate the LCM of 1077 and 1082.

LCM(1077,1082) = 21×31×3591×5411
LCM(1077,1082) = 1165314

Factors of 1077

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

1, 3, 359, 1077

Factors of 1082

List of positive integer factors of 1082 that divides 1082 without a remainder.

1, 2, 541, 1082

Least Common Multiple of 1077 and 1082 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 1082, than apply into the LCM equation.

GCF(1077,1082) = 1
LCM(1077,1082) = ( 1077 × 1082) / 1
LCM(1077,1082) = 1165314 / 1
LCM(1077,1082) = 1165314

Properties of LCM 1077 and 1082

(i) The LCM of 1082 and 1077 is associative

LCM of 1077 and 1082 = LCM of 1082 and 1077

Related Least Common Multiples of 1077

Related Least Common Multiples of 1082

Frequently Asked Questions on LCM of 1077 and 1082

1. What is the LCM of 1077 and 1082?

Answer: LCM of 1077 and 1082 is 1165314.

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 1082?

Answer: Factors of 1082 are 1, 2, 541, 1082. There are 4 integers that are factors of 1082. The greatest factor of 1082 is 1082.

4. How to Find the LCM of 1077 and 1082?

Answer:

Least Common Multiple of 1077 and 1082 = 1165314

Step 1: Find the prime factorization of 1077

1077 = 3 x 359

Step 2: Find the prime factorization of 1082

1082 = 2 x 541

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

LCM = 1165314 = 2 x 3 x 359 x 541

Step 4: Therefore, the least common multiple of 1077 and 1082 is 1165314.