Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1112 and 1118 the smallest integer that is 621608 that is divisible by both numbers.
Least Common Multiple (LCM) of 1112 and 1118 is 621608.
LCM(1112,1118) = 621608
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 1112 and 1118. First we will calculate the prime factors of 1112 and 1118.
Prime Factorization of 1112
2 | 1112 |
2 | 556 |
2 | 278 |
139 | 139 |
1 |
Prime factors of 1112 are 2,139. Prime factorization of 1112 in exponential form is:
1112 = 23×1391
Prime Factorization of 1118
2 | 1118 |
13 | 559 |
43 | 43 |
1 |
Prime factors of 1118 are 2, 13,43. Prime factorization of 1118 in exponential form is:
1118 = 21×131×431
Now multiplying the highest exponent prime factors to calculate the LCM of 1112 and 1118.
LCM(1112,1118) = 23×131×431×1391
LCM(1112,1118) = 621608
Factors of 1112
List of positive integer factors of 1112 that divides 1112 without a remainder.
1, 2, 4, 8, 139, 278, 556, 1112
Factors of 1118
List of positive integer factors of 1118 that divides 1118 without a remainder.
1, 2, 13, 26, 43, 86, 559, 1118
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1112 and 1118, than apply into the LCM equation.
GCF(1112,1118) = 2
LCM(1112,1118) = ( 1112 × 1118) / 2
LCM(1112,1118) = 1243216 / 2
LCM(1112,1118) = 621608
(i) The LCM of 1118 and 1112 is associative
LCM of 1112 and 1118 = LCM of 1118 and 1112
1. What is the LCM of 1112 and 1118?
Answer: LCM of 1112 and 1118 is 621608.
2. What are the Factors of 1112?
Answer: Factors of 1112 are 1, 2, 4, 8, 139, 278, 556, 1112. There are 8 integers that are factors of 1112. The greatest factor of 1112 is 1112.
3. What are the Factors of 1118?
Answer: Factors of 1118 are 1, 2, 13, 26, 43, 86, 559, 1118. There are 8 integers that are factors of 1118. The greatest factor of 1118 is 1118.
4. How to Find the LCM of 1112 and 1118?
Answer:
Least Common Multiple of 1112 and 1118 = 621608
Step 1: Find the prime factorization of 1112
1112 = 2 x 2 x 2 x 139
Step 2: Find the prime factorization of 1118
1118 = 2 x 13 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 621608 = 2 x 2 x 2 x 13 x 43 x 139
Step 4: Therefore, the least common multiple of 1112 and 1118 is 621608.