Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 17228 and 17233 the smallest integer that is 296890124 that is divisible by both numbers.
Least Common Multiple (LCM) of 17228 and 17233 is 296890124.
LCM(17228,17233) = 296890124
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 17228 and 17233. First we will calculate the prime factors of 17228 and 17233.
Prime Factorization of 17228
2 | 17228 |
2 | 8614 |
59 | 4307 |
73 | 73 |
1 |
Prime factors of 17228 are 2, 59,73. Prime factorization of 17228 in exponential form is:
17228 = 22×591×731
Prime Factorization of 17233
19 | 17233 |
907 | 907 |
1 |
Prime factors of 17233 are 19,907. Prime factorization of 17233 in exponential form is:
17233 = 191×9071
Now multiplying the highest exponent prime factors to calculate the LCM of 17228 and 17233.
LCM(17228,17233) = 22×191×591×731×9071
LCM(17228,17233) = 296890124
Factors of 17228
List of positive integer factors of 17228 that divides 17228 without a remainder.
1, 2, 4, 59, 73, 118, 146, 236, 292, 4307, 8614, 17228
Factors of 17233
List of positive integer factors of 17233 that divides 17233 without a remainder.
1, 19, 907, 17233
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17228 and 17233, than apply into the LCM equation.
GCF(17228,17233) = 1
LCM(17228,17233) = ( 17228 × 17233) / 1
LCM(17228,17233) = 296890124 / 1
LCM(17228,17233) = 296890124
(i) The LCM of 17233 and 17228 is associative
LCM of 17228 and 17233 = LCM of 17233 and 17228
1. What is the LCM of 17228 and 17233?
Answer: LCM of 17228 and 17233 is 296890124.
2. What are the Factors of 17228?
Answer: Factors of 17228 are 1, 2, 4, 59, 73, 118, 146, 236, 292, 4307, 8614, 17228. There are 12 integers that are factors of 17228. The greatest factor of 17228 is 17228.
3. What are the Factors of 17233?
Answer: Factors of 17233 are 1, 19, 907, 17233. There are 4 integers that are factors of 17233. The greatest factor of 17233 is 17233.
4. How to Find the LCM of 17228 and 17233?
Answer:
Least Common Multiple of 17228 and 17233 = 296890124
Step 1: Find the prime factorization of 17228
17228 = 2 x 2 x 59 x 73
Step 2: Find the prime factorization of 17233
17233 = 19 x 907
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 296890124 = 2 x 2 x 19 x 59 x 73 x 907
Step 4: Therefore, the least common multiple of 17228 and 17233 is 296890124.