Least Common Multiple of 67007 and 67013
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 67013 the smallest integer that is 4490340091 that is divisible by both numbers.
Least Common Multiple (LCM) of 67007 and 67013 is 4490340091.
LCM(67007,67013) = 4490340091
LCM of 67007 and 67013
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 67007 and 67013 by Prime method
- Least Common Multiple of 67007 and 67013 with GCF Formula
LCM of 67007 and 67013 is 4490340091
Least common multiple can be found by multiplying the highest exponent prime factors of 67007 and 67013. First we will calculate the prime factors of 67007 and 67013.
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 67013
| 19 | 67013 |
| 3527 | 3527 |
| 1 |
Prime factors of 67013 are 19,3527. Prime factorization of 67013 in exponential form is:
67013 = 191×35271
Now multiplying the highest exponent prime factors to calculate the LCM of 67007 and 67013.
LCM(67007,67013) = 191×371×18111×35271
LCM(67007,67013) = 4490340091
Factors of 67007
List of positive integer factors of 67007 that divides 67007 without a remainder.
1, 37, 1811, 67007
Factors of 67013
List of positive integer factors of 67013 that divides 67013 without a remainder.
1, 19, 3527, 67013
Least Common Multiple of 67007 and 67013 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 67013, than apply into the LCM equation.
GCF(67007,67013) = 1
LCM(67007,67013) = ( 67007 × 67013) / 1
LCM(67007,67013) = 4490340091 / 1
LCM(67007,67013) = 4490340091
Properties of LCM 67007 and 67013
(i) The LCM of 67013 and 67007 is associative
LCM of 67007 and 67013 = LCM of 67013 and 67007
Related Least Common Multiples of 67007
Related Least Common Multiples of 67013
Frequently Asked Questions on LCM of 67007 and 67013
1. What is the LCM of 67007 and 67013?
Answer: LCM of 67007 and 67013 is 4490340091.
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 67013?
Answer: Factors of 67013 are 1, 19, 3527, 67013. There are 4 integers that are factors of 67013. The greatest factor of 67013 is 67013.
4. How to Find the LCM of 67007 and 67013?
Answer:
Least Common Multiple of 67007 and 67013 = 4490340091
Step 1: Find the prime factorization of 67007
67007 = 37 x 1811
Step 2: Find the prime factorization of 67013
67013 = 19 x 3527
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4490340091 = 19 x 37 x 1811 x 3527
Step 4: Therefore, the least common multiple of 67007 and 67013 is 4490340091.