Least Common Multiple of 1077 and 1084

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 1084 the smallest integer that is 1167468 that is divisible by both numbers.

Least Common Multiple (LCM) of 1077 and 1084 is 1167468.

LCM(1077,1084) = 1167468

LCM of 1077 and 1084

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

LCM of:
and

Least Common Multiple of 1077 and 1084

LCM of 1077 and 1084 is 1167468

Least common multiple can be found by multiplying the highest exponent prime factors of 1077 and 1084. First we will calculate the prime factors of 1077 and 1084.

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 1084


2 1084
2 542
271 271
1

Prime factors of 1084 are 2,271. Prime factorization of 1084 in exponential form is:

1084 = 22×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 1077 and 1084.

LCM(1077,1084) = 22×31×2711×3591
LCM(1077,1084) = 1167468

Factors of 1077

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

1, 3, 359, 1077

Factors of 1084

List of positive integer factors of 1084 that divides 1084 without a remainder.

1, 2, 4, 271, 542, 1084

Least Common Multiple of 1077 and 1084 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 1084, than apply into the LCM equation.

GCF(1077,1084) = 1
LCM(1077,1084) = ( 1077 × 1084) / 1
LCM(1077,1084) = 1167468 / 1
LCM(1077,1084) = 1167468

Properties of LCM 1077 and 1084

(i) The LCM of 1084 and 1077 is associative

LCM of 1077 and 1084 = LCM of 1084 and 1077

Related Least Common Multiples of 1077

Related Least Common Multiples of 1084

Frequently Asked Questions on LCM of 1077 and 1084

1. What is the LCM of 1077 and 1084?

Answer: LCM of 1077 and 1084 is 1167468.

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 1084?

Answer: Factors of 1084 are 1, 2, 4, 271, 542, 1084. There are 6 integers that are factors of 1084. The greatest factor of 1084 is 1084.

4. How to Find the LCM of 1077 and 1084?

Answer:

Least Common Multiple of 1077 and 1084 = 1167468

Step 1: Find the prime factorization of 1077

1077 = 3 x 359

Step 2: Find the prime factorization of 1084

1084 = 2 x 2 x 271

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

LCM = 1167468 = 2 x 2 x 3 x 271 x 359

Step 4: Therefore, the least common multiple of 1077 and 1084 is 1167468.