Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10218 and 10226 the smallest integer that is 52244634 that is divisible by both numbers.
Least Common Multiple (LCM) of 10218 and 10226 is 52244634.
LCM(10218,10226) = 52244634
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 10218 and 10226. First we will calculate the prime factors of 10218 and 10226.
Prime Factorization of 10218
2 | 10218 |
3 | 5109 |
13 | 1703 |
131 | 131 |
1 |
Prime factors of 10218 are 2, 3, 13,131. Prime factorization of 10218 in exponential form is:
10218 = 21×31×131×1311
Prime Factorization of 10226
2 | 10226 |
5113 | 5113 |
1 |
Prime factors of 10226 are 2,5113. Prime factorization of 10226 in exponential form is:
10226 = 21×51131
Now multiplying the highest exponent prime factors to calculate the LCM of 10218 and 10226.
LCM(10218,10226) = 21×31×131×1311×51131
LCM(10218,10226) = 52244634
Factors of 10218
List of positive integer factors of 10218 that divides 10218 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78, 131, 262, 393, 786, 1703, 3406, 5109, 10218
Factors of 10226
List of positive integer factors of 10226 that divides 10226 without a remainder.
1, 2, 5113, 10226
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10218 and 10226, than apply into the LCM equation.
GCF(10218,10226) = 2
LCM(10218,10226) = ( 10218 × 10226) / 2
LCM(10218,10226) = 104489268 / 2
LCM(10218,10226) = 52244634
(i) The LCM of 10226 and 10218 is associative
LCM of 10218 and 10226 = LCM of 10226 and 10218
1. What is the LCM of 10218 and 10226?
Answer: LCM of 10218 and 10226 is 52244634.
2. What are the Factors of 10218?
Answer: Factors of 10218 are 1, 2, 3, 6, 13, 26, 39, 78, 131, 262, 393, 786, 1703, 3406, 5109, 10218. There are 16 integers that are factors of 10218. The greatest factor of 10218 is 10218.
3. What are the Factors of 10226?
Answer: Factors of 10226 are 1, 2, 5113, 10226. There are 4 integers that are factors of 10226. The greatest factor of 10226 is 10226.
4. How to Find the LCM of 10218 and 10226?
Answer:
Least Common Multiple of 10218 and 10226 = 52244634
Step 1: Find the prime factorization of 10218
10218 = 2 x 3 x 13 x 131
Step 2: Find the prime factorization of 10226
10226 = 2 x 5113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 52244634 = 2 x 3 x 13 x 131 x 5113
Step 4: Therefore, the least common multiple of 10218 and 10226 is 52244634.