Least Common Multiple of 1108 and 1113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1108 and 1113 the smallest integer that is 1233204 that is divisible by both numbers.

Least Common Multiple (LCM) of 1108 and 1113 is 1233204.

LCM(1108,1113) = 1233204

LCM of 1108 and 1113

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

LCM of:
and

Least Common Multiple of 1108 and 1113

LCM of 1108 and 1113 is 1233204

Least common multiple can be found by multiplying the highest exponent prime factors of 1108 and 1113. First we will calculate the prime factors of 1108 and 1113.

Prime Factorization of 1108


2 1108
2 554
277 277
1

Prime factors of 1108 are 2,277. Prime factorization of 1108 in exponential form is:

1108 = 22×2771

Prime Factorization of 1113


3 1113
7 371
53 53
1

Prime factors of 1113 are 3, 7,53. Prime factorization of 1113 in exponential form is:

1113 = 31×71×531

Now multiplying the highest exponent prime factors to calculate the LCM of 1108 and 1113.

LCM(1108,1113) = 22×31×71×531×2771
LCM(1108,1113) = 1233204

Factors of 1108

List of positive integer factors of 1108 that divides 1108 without a remainder.

1, 2, 4, 277, 554, 1108

Factors of 1113

List of positive integer factors of 1113 that divides 1113 without a remainder.

1, 3, 7, 21, 53, 159, 371, 1113

Least Common Multiple of 1108 and 1113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1108 and 1113, than apply into the LCM equation.

GCF(1108,1113) = 1
LCM(1108,1113) = ( 1108 × 1113) / 1
LCM(1108,1113) = 1233204 / 1
LCM(1108,1113) = 1233204

Properties of LCM 1108 and 1113

(i) The LCM of 1113 and 1108 is associative

LCM of 1108 and 1113 = LCM of 1113 and 1108

Related Least Common Multiples of 1108

Related Least Common Multiples of 1113

Frequently Asked Questions on LCM of 1108 and 1113

1. What is the LCM of 1108 and 1113?

Answer: LCM of 1108 and 1113 is 1233204.

2. What are the Factors of 1108?

Answer: Factors of 1108 are 1, 2, 4, 277, 554, 1108. There are 6 integers that are factors of 1108. The greatest factor of 1108 is 1108.

3. What are the Factors of 1113?

Answer: Factors of 1113 are 1, 3, 7, 21, 53, 159, 371, 1113. There are 8 integers that are factors of 1113. The greatest factor of 1113 is 1113.

4. How to Find the LCM of 1108 and 1113?

Answer:

Least Common Multiple of 1108 and 1113 = 1233204

Step 1: Find the prime factorization of 1108

1108 = 2 x 2 x 277

Step 2: Find the prime factorization of 1113

1113 = 3 x 7 x 53

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

LCM = 1233204 = 2 x 2 x 3 x 7 x 53 x 277

Step 4: Therefore, the least common multiple of 1108 and 1113 is 1233204.