Least Common Multiple of 1108 and 1114

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 1114 the smallest integer that is 617156 that is divisible by both numbers.

Least Common Multiple (LCM) of 1108 and 1114 is 617156.

LCM(1108,1114) = 617156

LCM of 1108 and 1114

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

LCM of:
and

Least Common Multiple of 1108 and 1114

LCM of 1108 and 1114 is 617156

Least common multiple can be found by multiplying the highest exponent prime factors of 1108 and 1114. First we will calculate the prime factors of 1108 and 1114.

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 1114


2 1114
557 557
1

Prime factors of 1114 are 2,557. Prime factorization of 1114 in exponential form is:

1114 = 21×5571

Now multiplying the highest exponent prime factors to calculate the LCM of 1108 and 1114.

LCM(1108,1114) = 22×2771×5571
LCM(1108,1114) = 617156

Factors of 1108

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

1, 2, 4, 277, 554, 1108

Factors of 1114

List of positive integer factors of 1114 that divides 1114 without a remainder.

1, 2, 557, 1114

Least Common Multiple of 1108 and 1114 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 1114, than apply into the LCM equation.

GCF(1108,1114) = 2
LCM(1108,1114) = ( 1108 × 1114) / 2
LCM(1108,1114) = 1234312 / 2
LCM(1108,1114) = 617156

Properties of LCM 1108 and 1114

(i) The LCM of 1114 and 1108 is associative

LCM of 1108 and 1114 = LCM of 1114 and 1108

Related Least Common Multiples of 1108

Related Least Common Multiples of 1114

Frequently Asked Questions on LCM of 1108 and 1114

1. What is the LCM of 1108 and 1114?

Answer: LCM of 1108 and 1114 is 617156.

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 1114?

Answer: Factors of 1114 are 1, 2, 557, 1114. There are 4 integers that are factors of 1114. The greatest factor of 1114 is 1114.

4. How to Find the LCM of 1108 and 1114?

Answer:

Least Common Multiple of 1108 and 1114 = 617156

Step 1: Find the prime factorization of 1108

1108 = 2 x 2 x 277

Step 2: Find the prime factorization of 1114

1114 = 2 x 557

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

LCM = 617156 = 2 x 2 x 277 x 557

Step 4: Therefore, the least common multiple of 1108 and 1114 is 617156.