Least Common Multiple of 67009 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 67009 and 67013 the smallest integer that is 4490474117 that is divisible by both numbers.
Least Common Multiple (LCM) of 67009 and 67013 is 4490474117.
LCM(67009,67013) = 4490474117
LCM of 67009 and 67013
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 67009 and 67013 by Prime method
- Least Common Multiple of 67009 and 67013 with GCF Formula
LCM of 67009 and 67013 is 4490474117
Least common multiple can be found by multiplying the highest exponent prime factors of 67009 and 67013. First we will calculate the prime factors of 67009 and 67013.
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 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 67009 and 67013.
LCM(67009,67013) = 191×1131×5931×35271
LCM(67009,67013) = 4490474117
Factors of 67009
List of positive integer factors of 67009 that divides 67009 without a remainder.
1, 113, 593, 67009
Factors of 67013
List of positive integer factors of 67013 that divides 67013 without a remainder.
1, 19, 3527, 67013
Least Common Multiple of 67009 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 67009 and 67013, than apply into the LCM equation.
GCF(67009,67013) = 1
LCM(67009,67013) = ( 67009 × 67013) / 1
LCM(67009,67013) = 4490474117 / 1
LCM(67009,67013) = 4490474117
Properties of LCM 67009 and 67013
(i) The LCM of 67013 and 67009 is associative
LCM of 67009 and 67013 = LCM of 67013 and 67009
Related Least Common Multiples of 67009
Related Least Common Multiples of 67013
Frequently Asked Questions on LCM of 67009 and 67013
1. What is the LCM of 67009 and 67013?
Answer: LCM of 67009 and 67013 is 4490474117.
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 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 67009 and 67013?
Answer:
Least Common Multiple of 67009 and 67013 = 4490474117
Step 1: Find the prime factorization of 67009
67009 = 113 x 593
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 = 4490474117 = 19 x 113 x 593 x 3527
Step 4: Therefore, the least common multiple of 67009 and 67013 is 4490474117.