Least Common Multiple of 1116 and 1121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1116 and 1121 the smallest integer that is 1251036 that is divisible by both numbers.

Least Common Multiple (LCM) of 1116 and 1121 is 1251036.

LCM(1116,1121) = 1251036

LCM of 1116 and 1121

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

LCM of:
and

Least Common Multiple of 1116 and 1121

LCM of 1116 and 1121 is 1251036

Least common multiple can be found by multiplying the highest exponent prime factors of 1116 and 1121. First we will calculate the prime factors of 1116 and 1121.

Prime Factorization of 1116


2 1116
2 558
3 279
3 93
31 31
1

Prime factors of 1116 are 2, 3,31. Prime factorization of 1116 in exponential form is:

1116 = 22×32×311

Prime Factorization of 1121


19 1121
59 59
1

Prime factors of 1121 are 19,59. Prime factorization of 1121 in exponential form is:

1121 = 191×591

Now multiplying the highest exponent prime factors to calculate the LCM of 1116 and 1121.

LCM(1116,1121) = 22×32×191×311×591
LCM(1116,1121) = 1251036

Factors of 1116

List of positive integer factors of 1116 that divides 1116 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116

Factors of 1121

List of positive integer factors of 1121 that divides 1121 without a remainder.

1, 19, 59, 1121

Least Common Multiple of 1116 and 1121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1116 and 1121, than apply into the LCM equation.

GCF(1116,1121) = 1
LCM(1116,1121) = ( 1116 × 1121) / 1
LCM(1116,1121) = 1251036 / 1
LCM(1116,1121) = 1251036

Properties of LCM 1116 and 1121

(i) The LCM of 1121 and 1116 is associative

LCM of 1116 and 1121 = LCM of 1121 and 1116

Related Least Common Multiples of 1116

Related Least Common Multiples of 1121

Frequently Asked Questions on LCM of 1116 and 1121

1. What is the LCM of 1116 and 1121?

Answer: LCM of 1116 and 1121 is 1251036.

2. What are the Factors of 1116?

Answer: Factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116. There are 18 integers that are factors of 1116. The greatest factor of 1116 is 1116.

3. What are the Factors of 1121?

Answer: Factors of 1121 are 1, 19, 59, 1121. There are 4 integers that are factors of 1121. The greatest factor of 1121 is 1121.

4. How to Find the LCM of 1116 and 1121?

Answer:

Least Common Multiple of 1116 and 1121 = 1251036

Step 1: Find the prime factorization of 1116

1116 = 2 x 2 x 3 x 3 x 31

Step 2: Find the prime factorization of 1121

1121 = 19 x 59

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

LCM = 1251036 = 2 x 2 x 3 x 3 x 19 x 31 x 59

Step 4: Therefore, the least common multiple of 1116 and 1121 is 1251036.