Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 67017 and 67019 the smallest integer that is 4491412323 that is divisible by both numbers.
Least Common Multiple (LCM) of 67017 and 67019 is 4491412323.
LCM(67017,67019) = 4491412323
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 67017 and 67019. First we will calculate the prime factors of 67017 and 67019.
Prime Factorization of 67017
3 | 67017 |
89 | 22339 |
251 | 251 |
1 |
Prime factors of 67017 are 3, 89,251. Prime factorization of 67017 in exponential form is:
67017 = 31×891×2511
Prime Factorization of 67019
29 | 67019 |
2311 | 2311 |
1 |
Prime factors of 67019 are 29,2311. Prime factorization of 67019 in exponential form is:
67019 = 291×23111
Now multiplying the highest exponent prime factors to calculate the LCM of 67017 and 67019.
LCM(67017,67019) = 31×291×891×2511×23111
LCM(67017,67019) = 4491412323
Factors of 67017
List of positive integer factors of 67017 that divides 67017 without a remainder.
1, 3, 89, 251, 267, 753, 22339, 67017
Factors of 67019
List of positive integer factors of 67019 that divides 67019 without a remainder.
1, 29, 2311, 67019
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67017 and 67019, than apply into the LCM equation.
GCF(67017,67019) = 1
LCM(67017,67019) = ( 67017 × 67019) / 1
LCM(67017,67019) = 4491412323 / 1
LCM(67017,67019) = 4491412323
(i) The LCM of 67019 and 67017 is associative
LCM of 67017 and 67019 = LCM of 67019 and 67017
1. What is the LCM of 67017 and 67019?
Answer: LCM of 67017 and 67019 is 4491412323.
2. What are the Factors of 67017?
Answer: Factors of 67017 are 1, 3, 89, 251, 267, 753, 22339, 67017. There are 8 integers that are factors of 67017. The greatest factor of 67017 is 67017.
3. What are the Factors of 67019?
Answer: Factors of 67019 are 1, 29, 2311, 67019. There are 4 integers that are factors of 67019. The greatest factor of 67019 is 67019.
4. How to Find the LCM of 67017 and 67019?
Answer:
Least Common Multiple of 67017 and 67019 = 4491412323
Step 1: Find the prime factorization of 67017
67017 = 3 x 89 x 251
Step 2: Find the prime factorization of 67019
67019 = 29 x 2311
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4491412323 = 3 x 29 x 89 x 251 x 2311
Step 4: Therefore, the least common multiple of 67017 and 67019 is 4491412323.