Least Common Multiple of 67003 and 67009
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 67003 and 67009 the smallest integer that is 4489804027 that is divisible by both numbers.
Least Common Multiple (LCM) of 67003 and 67009 is 4489804027.
LCM(67003,67009) = 4489804027
LCM of 67003 and 67009
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 67003 and 67009 by Prime method
- Least Common Multiple of 67003 and 67009 with GCF Formula
LCM of 67003 and 67009 is 4489804027
Least common multiple can be found by multiplying the highest exponent prime factors of 67003 and 67009. First we will calculate the prime factors of 67003 and 67009.
Prime Factorization of 67003
| 67003 | 67003 |
| 1 |
Prime factors of 67003 are 67003. Prime factorization of 67003 in exponential form is:
67003 = 670031
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
Now multiplying the highest exponent prime factors to calculate the LCM of 67003 and 67009.
LCM(67003,67009) = 1131×5931×670031
LCM(67003,67009) = 4489804027
Factors of 67003
List of positive integer factors of 67003 that divides 67003 without a remainder.
1, 67003
Factors of 67009
List of positive integer factors of 67009 that divides 67009 without a remainder.
1, 113, 593, 67009
Least Common Multiple of 67003 and 67009 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67003 and 67009, than apply into the LCM equation.
GCF(67003,67009) = 1
LCM(67003,67009) = ( 67003 × 67009) / 1
LCM(67003,67009) = 4489804027 / 1
LCM(67003,67009) = 4489804027
Properties of LCM 67003 and 67009
(i) The LCM of 67009 and 67003 is associative
LCM of 67003 and 67009 = LCM of 67009 and 67003
Related Least Common Multiples of 67003
Related Least Common Multiples of 67009
Frequently Asked Questions on LCM of 67003 and 67009
1. What is the LCM of 67003 and 67009?
Answer: LCM of 67003 and 67009 is 4489804027.
2. What are the Factors of 67003?
Answer: Factors of 67003 are 1, 67003. There are 2 integers that are factors of 67003. The greatest factor of 67003 is 67003.
3. 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.
4. How to Find the LCM of 67003 and 67009?
Answer:
Least Common Multiple of 67003 and 67009 = 4489804027
Step 1: Find the prime factorization of 67003
67003 = 67003
Step 2: Find the prime factorization of 67009
67009 = 113 x 593
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4489804027 = 113 x 593 x 67003
Step 4: Therefore, the least common multiple of 67003 and 67009 is 4489804027.