Least Common Multiple of 67017 and 67021
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 67021 the smallest integer that is 4491546357 that is divisible by both numbers.
Least Common Multiple (LCM) of 67017 and 67021 is 4491546357.
LCM(67017,67021) = 4491546357
LCM of 67017 and 67021
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 67017 and 67021 by Prime method
- Least Common Multiple of 67017 and 67021 with GCF Formula
LCM of 67017 and 67021 is 4491546357
Least common multiple can be found by multiplying the highest exponent prime factors of 67017 and 67021. First we will calculate the prime factors of 67017 and 67021.
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 67021
| 67021 | 67021 |
| 1 |
Prime factors of 67021 are 67021. Prime factorization of 67021 in exponential form is:
67021 = 670211
Now multiplying the highest exponent prime factors to calculate the LCM of 67017 and 67021.
LCM(67017,67021) = 31×891×2511×670211
LCM(67017,67021) = 4491546357
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 67021
List of positive integer factors of 67021 that divides 67021 without a remainder.
1, 67021
Least Common Multiple of 67017 and 67021 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67017 and 67021, than apply into the LCM equation.
GCF(67017,67021) = 1
LCM(67017,67021) = ( 67017 × 67021) / 1
LCM(67017,67021) = 4491546357 / 1
LCM(67017,67021) = 4491546357
Properties of LCM 67017 and 67021
(i) The LCM of 67021 and 67017 is associative
LCM of 67017 and 67021 = LCM of 67021 and 67017
Related Least Common Multiples of 67017
Related Least Common Multiples of 67021
Frequently Asked Questions on LCM of 67017 and 67021
1. What is the LCM of 67017 and 67021?
Answer: LCM of 67017 and 67021 is 4491546357.
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 67021?
Answer: Factors of 67021 are 1, 67021. There are 2 integers that are factors of 67021. The greatest factor of 67021 is 67021.
4. How to Find the LCM of 67017 and 67021?
Answer:
Least Common Multiple of 67017 and 67021 = 4491546357
Step 1: Find the prime factorization of 67017
67017 = 3 x 89 x 251
Step 2: Find the prime factorization of 67021
67021 = 67021
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4491546357 = 3 x 89 x 251 x 67021
Step 4: Therefore, the least common multiple of 67017 and 67021 is 4491546357.