Least Common Multiple of 1108 and 1115

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 1115 the smallest integer that is 1235420 that is divisible by both numbers.

Least Common Multiple (LCM) of 1108 and 1115 is 1235420.

LCM(1108,1115) = 1235420

LCM of 1108 and 1115

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

LCM of:
and

Least Common Multiple of 1108 and 1115

LCM of 1108 and 1115 is 1235420

Least common multiple can be found by multiplying the highest exponent prime factors of 1108 and 1115. First we will calculate the prime factors of 1108 and 1115.

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 1115


5 1115
223 223
1

Prime factors of 1115 are 5,223. Prime factorization of 1115 in exponential form is:

1115 = 51×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 1108 and 1115.

LCM(1108,1115) = 22×51×2231×2771
LCM(1108,1115) = 1235420

Factors of 1108

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

1, 2, 4, 277, 554, 1108

Factors of 1115

List of positive integer factors of 1115 that divides 1115 without a remainder.

1, 5, 223, 1115

Least Common Multiple of 1108 and 1115 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 1115, than apply into the LCM equation.

GCF(1108,1115) = 1
LCM(1108,1115) = ( 1108 × 1115) / 1
LCM(1108,1115) = 1235420 / 1
LCM(1108,1115) = 1235420

Properties of LCM 1108 and 1115

(i) The LCM of 1115 and 1108 is associative

LCM of 1108 and 1115 = LCM of 1115 and 1108

Related Least Common Multiples of 1108

Related Least Common Multiples of 1115

Frequently Asked Questions on LCM of 1108 and 1115

1. What is the LCM of 1108 and 1115?

Answer: LCM of 1108 and 1115 is 1235420.

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 1115?

Answer: Factors of 1115 are 1, 5, 223, 1115. There are 4 integers that are factors of 1115. The greatest factor of 1115 is 1115.

4. How to Find the LCM of 1108 and 1115?

Answer:

Least Common Multiple of 1108 and 1115 = 1235420

Step 1: Find the prime factorization of 1108

1108 = 2 x 2 x 277

Step 2: Find the prime factorization of 1115

1115 = 5 x 223

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

LCM = 1235420 = 2 x 2 x 5 x 223 x 277

Step 4: Therefore, the least common multiple of 1108 and 1115 is 1235420.