Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2218 and 2224 the smallest integer that is 2466416 that is divisible by both numbers.
Least Common Multiple (LCM) of 2218 and 2224 is 2466416.
LCM(2218,2224) = 2466416
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 2218 and 2224. First we will calculate the prime factors of 2218 and 2224.
Prime Factorization of 2218
2 | 2218 |
1109 | 1109 |
1 |
Prime factors of 2218 are 2,1109. Prime factorization of 2218 in exponential form is:
2218 = 21×11091
Prime Factorization of 2224
2 | 2224 |
2 | 1112 |
2 | 556 |
2 | 278 |
139 | 139 |
1 |
Prime factors of 2224 are 2,139. Prime factorization of 2224 in exponential form is:
2224 = 24×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 2218 and 2224.
LCM(2218,2224) = 24×1391×11091
LCM(2218,2224) = 2466416
Factors of 2218
List of positive integer factors of 2218 that divides 2218 without a remainder.
1, 2, 1109, 2218
Factors of 2224
List of positive integer factors of 2224 that divides 2224 without a remainder.
1, 2, 4, 8, 16, 139, 278, 556, 1112, 2224
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2218 and 2224, than apply into the LCM equation.
GCF(2218,2224) = 2
LCM(2218,2224) = ( 2218 × 2224) / 2
LCM(2218,2224) = 4932832 / 2
LCM(2218,2224) = 2466416
(i) The LCM of 2224 and 2218 is associative
LCM of 2218 and 2224 = LCM of 2224 and 2218
1. What is the LCM of 2218 and 2224?
Answer: LCM of 2218 and 2224 is 2466416.
2. What are the Factors of 2218?
Answer: Factors of 2218 are 1, 2, 1109, 2218. There are 4 integers that are factors of 2218. The greatest factor of 2218 is 2218.
3. What are the Factors of 2224?
Answer: Factors of 2224 are 1, 2, 4, 8, 16, 139, 278, 556, 1112, 2224. There are 10 integers that are factors of 2224. The greatest factor of 2224 is 2224.
4. How to Find the LCM of 2218 and 2224?
Answer:
Least Common Multiple of 2218 and 2224 = 2466416
Step 1: Find the prime factorization of 2218
2218 = 2 x 1109
Step 2: Find the prime factorization of 2224
2224 = 2 x 2 x 2 x 2 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2466416 = 2 x 2 x 2 x 2 x 139 x 1109
Step 4: Therefore, the least common multiple of 2218 and 2224 is 2466416.