Least Common Multiple of 1084 and 1091

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1084 and 1091 the smallest integer that is 1182644 that is divisible by both numbers.

Least Common Multiple (LCM) of 1084 and 1091 is 1182644.

LCM(1084,1091) = 1182644

LCM of 1084 and 1091

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

LCM of:
and

Least Common Multiple of 1084 and 1091

LCM of 1084 and 1091 is 1182644

Least common multiple can be found by multiplying the highest exponent prime factors of 1084 and 1091. First we will calculate the prime factors of 1084 and 1091.

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

Prime Factorization of 1091


1091 1091
1

Prime factors of 1091 are 1091. Prime factorization of 1091 in exponential form is:

1091 = 10911

Now multiplying the highest exponent prime factors to calculate the LCM of 1084 and 1091.

LCM(1084,1091) = 22×2711×10911
LCM(1084,1091) = 1182644

Factors of 1084

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

1, 2, 4, 271, 542, 1084

Factors of 1091

List of positive integer factors of 1091 that divides 1091 without a remainder.

1, 1091

Least Common Multiple of 1084 and 1091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1084 and 1091, than apply into the LCM equation.

GCF(1084,1091) = 1
LCM(1084,1091) = ( 1084 × 1091) / 1
LCM(1084,1091) = 1182644 / 1
LCM(1084,1091) = 1182644

Properties of LCM 1084 and 1091

(i) The LCM of 1091 and 1084 is associative

LCM of 1084 and 1091 = LCM of 1091 and 1084

Related Least Common Multiples of 1084

Related Least Common Multiples of 1091

Frequently Asked Questions on LCM of 1084 and 1091

1. What is the LCM of 1084 and 1091?

Answer: LCM of 1084 and 1091 is 1182644.

2. 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.

3. What are the Factors of 1091?

Answer: Factors of 1091 are 1, 1091. There are 2 integers that are factors of 1091. The greatest factor of 1091 is 1091.

4. How to Find the LCM of 1084 and 1091?

Answer:

Least Common Multiple of 1084 and 1091 = 1182644

Step 1: Find the prime factorization of 1084

1084 = 2 x 2 x 271

Step 2: Find the prime factorization of 1091

1091 = 1091

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

LCM = 1182644 = 2 x 2 x 271 x 1091

Step 4: Therefore, the least common multiple of 1084 and 1091 is 1182644.