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 17236 the smallest integer that is 74235452 that is divisible by both numbers.
Least Common Multiple (LCM) of 17228 and 17236 is 74235452.
LCM(17228,17236) = 74235452
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 17236. First we will calculate the prime factors of 17228 and 17236.
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 17236
2 | 17236 |
2 | 8618 |
31 | 4309 |
139 | 139 |
1 |
Prime factors of 17236 are 2, 31,139. Prime factorization of 17236 in exponential form is:
17236 = 22×311×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 17228 and 17236.
LCM(17228,17236) = 22×311×591×731×1391
LCM(17228,17236) = 74235452
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 17236
List of positive integer factors of 17236 that divides 17236 without a remainder.
1, 2, 4, 31, 62, 124, 139, 278, 556, 4309, 8618, 17236
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17228 and 17236, than apply into the LCM equation.
GCF(17228,17236) = 4
LCM(17228,17236) = ( 17228 × 17236) / 4
LCM(17228,17236) = 296941808 / 4
LCM(17228,17236) = 74235452
(i) The LCM of 17236 and 17228 is associative
LCM of 17228 and 17236 = LCM of 17236 and 17228
1. What is the LCM of 17228 and 17236?
Answer: LCM of 17228 and 17236 is 74235452.
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 17236?
Answer: Factors of 17236 are 1, 2, 4, 31, 62, 124, 139, 278, 556, 4309, 8618, 17236. There are 12 integers that are factors of 17236. The greatest factor of 17236 is 17236.
4. How to Find the LCM of 17228 and 17236?
Answer:
Least Common Multiple of 17228 and 17236 = 74235452
Step 1: Find the prime factorization of 17228
17228 = 2 x 2 x 59 x 73
Step 2: Find the prime factorization of 17236
17236 = 2 x 2 x 31 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 = 74235452 = 2 x 2 x 31 x 59 x 73 x 139
Step 4: Therefore, the least common multiple of 17228 and 17236 is 74235452.