Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 17233 and 17237 the smallest integer that is 297045221 that is divisible by both numbers.
Least Common Multiple (LCM) of 17233 and 17237 is 297045221.
LCM(17233,17237) = 297045221
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 17233 and 17237. First we will calculate the prime factors of 17233 and 17237.
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
Prime Factorization of 17237
11 | 17237 |
1567 | 1567 |
1 |
Prime factors of 17237 are 11,1567. Prime factorization of 17237 in exponential form is:
17237 = 111×15671
Now multiplying the highest exponent prime factors to calculate the LCM of 17233 and 17237.
LCM(17233,17237) = 111×191×9071×15671
LCM(17233,17237) = 297045221
Factors of 17233
List of positive integer factors of 17233 that divides 17233 without a remainder.
1, 19, 907, 17233
Factors of 17237
List of positive integer factors of 17237 that divides 17237 without a remainder.
1, 11, 1567, 17237
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17233 and 17237, than apply into the LCM equation.
GCF(17233,17237) = 1
LCM(17233,17237) = ( 17233 × 17237) / 1
LCM(17233,17237) = 297045221 / 1
LCM(17233,17237) = 297045221
(i) The LCM of 17237 and 17233 is associative
LCM of 17233 and 17237 = LCM of 17237 and 17233
1. What is the LCM of 17233 and 17237?
Answer: LCM of 17233 and 17237 is 297045221.
2. 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.
3. What are the Factors of 17237?
Answer: Factors of 17237 are 1, 11, 1567, 17237. There are 4 integers that are factors of 17237. The greatest factor of 17237 is 17237.
4. How to Find the LCM of 17233 and 17237?
Answer:
Least Common Multiple of 17233 and 17237 = 297045221
Step 1: Find the prime factorization of 17233
17233 = 19 x 907
Step 2: Find the prime factorization of 17237
17237 = 11 x 1567
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 297045221 = 11 x 19 x 907 x 1567
Step 4: Therefore, the least common multiple of 17233 and 17237 is 297045221.