Least Common Multiple of 40009 and 40015
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 40009 and 40015 the smallest integer that is 1600960135 that is divisible by both numbers.
Least Common Multiple (LCM) of 40009 and 40015 is 1600960135.
LCM(40009,40015) = 1600960135
LCM of 40009 and 40015
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 40009 and 40015 by Prime method
- Least Common Multiple of 40009 and 40015 with GCF Formula
LCM of 40009 and 40015 is 1600960135
Least common multiple can be found by multiplying the highest exponent prime factors of 40009 and 40015. First we will calculate the prime factors of 40009 and 40015.
Prime Factorization of 40009
| 40009 | 40009 |
| 1 |
Prime factors of 40009 are 40009. Prime factorization of 40009 in exponential form is:
40009 = 400091
Prime Factorization of 40015
| 5 | 40015 |
| 53 | 8003 |
| 151 | 151 |
| 1 |
Prime factors of 40015 are 5, 53,151. Prime factorization of 40015 in exponential form is:
40015 = 51×531×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 40009 and 40015.
LCM(40009,40015) = 51×531×1511×400091
LCM(40009,40015) = 1600960135
Factors of 40009
List of positive integer factors of 40009 that divides 40009 without a remainder.
1, 40009
Factors of 40015
List of positive integer factors of 40015 that divides 40015 without a remainder.
1, 5, 53, 151, 265, 755, 8003, 40015
Least Common Multiple of 40009 and 40015 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40009 and 40015, than apply into the LCM equation.
GCF(40009,40015) = 1
LCM(40009,40015) = ( 40009 × 40015) / 1
LCM(40009,40015) = 1600960135 / 1
LCM(40009,40015) = 1600960135
Properties of LCM 40009 and 40015
(i) The LCM of 40015 and 40009 is associative
LCM of 40009 and 40015 = LCM of 40015 and 40009
Related Least Common Multiples of 40009
Related Least Common Multiples of 40015
Frequently Asked Questions on LCM of 40009 and 40015
1. What is the LCM of 40009 and 40015?
Answer: LCM of 40009 and 40015 is 1600960135.
2. What are the Factors of 40009?
Answer: Factors of 40009 are 1, 40009. There are 2 integers that are factors of 40009. The greatest factor of 40009 is 40009.
3. What are the Factors of 40015?
Answer: Factors of 40015 are 1, 5, 53, 151, 265, 755, 8003, 40015. There are 8 integers that are factors of 40015. The greatest factor of 40015 is 40015.
4. How to Find the LCM of 40009 and 40015?
Answer:
Least Common Multiple of 40009 and 40015 = 1600960135
Step 1: Find the prime factorization of 40009
40009 = 40009
Step 2: Find the prime factorization of 40015
40015 = 5 x 53 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1600960135 = 5 x 53 x 151 x 40009
Step 4: Therefore, the least common multiple of 40009 and 40015 is 1600960135.