Least Common Multiple of 67009 and 67014
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 67009 and 67014 the smallest integer that is 4490541126 that is divisible by both numbers.
Least Common Multiple (LCM) of 67009 and 67014 is 4490541126.
LCM(67009,67014) = 4490541126
LCM of 67009 and 67014
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 67009 and 67014 by Prime method
- Least Common Multiple of 67009 and 67014 with GCF Formula
LCM of 67009 and 67014 is 4490541126
Least common multiple can be found by multiplying the highest exponent prime factors of 67009 and 67014. First we will calculate the prime factors of 67009 and 67014.
Prime Factorization of 67009
| 113 | 67009 |
| 593 | 593 |
| 1 |
Prime factors of 67009 are 113,593. Prime factorization of 67009 in exponential form is:
67009 = 1131×5931
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
Now multiplying the highest exponent prime factors to calculate the LCM of 67009 and 67014.
LCM(67009,67014) = 21×33×171×731×1131×5931
LCM(67009,67014) = 4490541126
Factors of 67009
List of positive integer factors of 67009 that divides 67009 without a remainder.
1, 113, 593, 67009
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
Least Common Multiple of 67009 and 67014 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67009 and 67014, than apply into the LCM equation.
GCF(67009,67014) = 1
LCM(67009,67014) = ( 67009 × 67014) / 1
LCM(67009,67014) = 4490541126 / 1
LCM(67009,67014) = 4490541126
Properties of LCM 67009 and 67014
(i) The LCM of 67014 and 67009 is associative
LCM of 67009 and 67014 = LCM of 67014 and 67009
Related Least Common Multiples of 67009
Related Least Common Multiples of 67014
Frequently Asked Questions on LCM of 67009 and 67014
1. What is the LCM of 67009 and 67014?
Answer: LCM of 67009 and 67014 is 4490541126.
2. What are the Factors of 67009?
Answer: Factors of 67009 are 1, 113, 593, 67009. There are 4 integers that are factors of 67009. The greatest factor of 67009 is 67009.
3. 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.
4. How to Find the LCM of 67009 and 67014?
Answer:
Least Common Multiple of 67009 and 67014 = 4490541126
Step 1: Find the prime factorization of 67009
67009 = 113 x 593
Step 2: Find the prime factorization of 67014
67014 = 2 x 3 x 3 x 3 x 17 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4490541126 = 2 x 3 x 3 x 3 x 17 x 73 x 113 x 593
Step 4: Therefore, the least common multiple of 67009 and 67014 is 4490541126.