Least Common Multiple of 67014 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 67014 and 67021 the smallest integer that is 4491345294 that is divisible by both numbers.
Least Common Multiple (LCM) of 67014 and 67021 is 4491345294.
LCM(67014,67021) = 4491345294
LCM of 67014 and 67021
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 67014 and 67021 by Prime method
- Least Common Multiple of 67014 and 67021 with GCF Formula
LCM of 67014 and 67021 is 4491345294
Least common multiple can be found by multiplying the highest exponent prime factors of 67014 and 67021. First we will calculate the prime factors of 67014 and 67021.
Prime Factorization of 67014
| 2 | 67014 |
| 3 | 33507 |
| 3 | 11169 |
| 3 | 3723 |
| 17 | 1241 |
| 73 | 73 |
| 1 |
Prime factors of 67014 are 2, 3, 17,73. Prime factorization of 67014 in exponential form is:
67014 = 21×33×171×731
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 67014 and 67021.
LCM(67014,67021) = 21×33×171×731×670211
LCM(67014,67021) = 4491345294
Factors of 67014
List of positive integer factors of 67014 that divides 67014 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 73, 102, 146, 153, 219, 306, 438, 459, 657, 918, 1241, 1314, 1971, 2482, 3723, 3942, 7446, 11169, 22338, 33507, 67014
Factors of 67021
List of positive integer factors of 67021 that divides 67021 without a remainder.
1, 67021
Least Common Multiple of 67014 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 67014 and 67021, than apply into the LCM equation.
GCF(67014,67021) = 1
LCM(67014,67021) = ( 67014 × 67021) / 1
LCM(67014,67021) = 4491345294 / 1
LCM(67014,67021) = 4491345294
Properties of LCM 67014 and 67021
(i) The LCM of 67021 and 67014 is associative
LCM of 67014 and 67021 = LCM of 67021 and 67014
Related Least Common Multiples of 67014
Related Least Common Multiples of 67021
Frequently Asked Questions on LCM of 67014 and 67021
1. What is the LCM of 67014 and 67021?
Answer: LCM of 67014 and 67021 is 4491345294.
2. What are the Factors of 67014?
Answer: Factors of 67014 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 73, 102, 146, 153, 219, 306, 438, 459, 657, 918, 1241, 1314, 1971, 2482, 3723, 3942, 7446, 11169, 22338, 33507, 67014. There are 32 integers that are factors of 67014. The greatest factor of 67014 is 67014.
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 67014 and 67021?
Answer:
Least Common Multiple of 67014 and 67021 = 4491345294
Step 1: Find the prime factorization of 67014
67014 = 2 x 3 x 3 x 3 x 17 x 73
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 = 4491345294 = 2 x 3 x 3 x 3 x 17 x 73 x 67021
Step 4: Therefore, the least common multiple of 67014 and 67021 is 4491345294.