Least Common Multiple of 67007 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 67007 and 67014 the smallest integer that is 4490407098 that is divisible by both numbers.
Least Common Multiple (LCM) of 67007 and 67014 is 4490407098.
LCM(67007,67014) = 4490407098
LCM of 67007 and 67014
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 67007 and 67014 by Prime method
- Least Common Multiple of 67007 and 67014 with GCF Formula
LCM of 67007 and 67014 is 4490407098
Least common multiple can be found by multiplying the highest exponent prime factors of 67007 and 67014. First we will calculate the prime factors of 67007 and 67014.
Prime Factorization of 67007
| 37 | 67007 |
| 1811 | 1811 |
| 1 |
Prime factors of 67007 are 37,1811. Prime factorization of 67007 in exponential form is:
67007 = 371×18111
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 67007 and 67014.
LCM(67007,67014) = 21×33×171×371×731×18111
LCM(67007,67014) = 4490407098
Factors of 67007
List of positive integer factors of 67007 that divides 67007 without a remainder.
1, 37, 1811, 67007
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 67007 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 67007 and 67014, than apply into the LCM equation.
GCF(67007,67014) = 1
LCM(67007,67014) = ( 67007 × 67014) / 1
LCM(67007,67014) = 4490407098 / 1
LCM(67007,67014) = 4490407098
Properties of LCM 67007 and 67014
(i) The LCM of 67014 and 67007 is associative
LCM of 67007 and 67014 = LCM of 67014 and 67007
Related Least Common Multiples of 67007
Related Least Common Multiples of 67014
Frequently Asked Questions on LCM of 67007 and 67014
1. What is the LCM of 67007 and 67014?
Answer: LCM of 67007 and 67014 is 4490407098.
2. What are the Factors of 67007?
Answer: Factors of 67007 are 1, 37, 1811, 67007. There are 4 integers that are factors of 67007. The greatest factor of 67007 is 67007.
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 67007 and 67014?
Answer:
Least Common Multiple of 67007 and 67014 = 4490407098
Step 1: Find the prime factorization of 67007
67007 = 37 x 1811
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 = 4490407098 = 2 x 3 x 3 x 3 x 17 x 37 x 73 x 1811
Step 4: Therefore, the least common multiple of 67007 and 67014 is 4490407098.