Least Common Multiple of 1501 and 1509
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1501 and 1509 the smallest integer that is 2265009 that is divisible by both numbers.
Least Common Multiple (LCM) of 1501 and 1509 is 2265009.
LCM(1501,1509) = 2265009
LCM of 1501 and 1509
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1501 and 1509 by Prime method
- Least Common Multiple of 1501 and 1509 with GCF Formula
LCM of 1501 and 1509 is 2265009
Least common multiple can be found by multiplying the highest exponent prime factors of 1501 and 1509. First we will calculate the prime factors of 1501 and 1509.
Prime Factorization of 1501
| 19 | 1501 |
| 79 | 79 |
| 1 |
Prime factors of 1501 are 19,79. Prime factorization of 1501 in exponential form is:
1501 = 191×791
Prime Factorization of 1509
| 3 | 1509 |
| 503 | 503 |
| 1 |
Prime factors of 1509 are 3,503. Prime factorization of 1509 in exponential form is:
1509 = 31×5031
Now multiplying the highest exponent prime factors to calculate the LCM of 1501 and 1509.
LCM(1501,1509) = 31×191×791×5031
LCM(1501,1509) = 2265009
Factors of 1501
List of positive integer factors of 1501 that divides 1501 without a remainder.
1, 19, 79, 1501
Factors of 1509
List of positive integer factors of 1509 that divides 1509 without a remainder.
1, 3, 503, 1509
Least Common Multiple of 1501 and 1509 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1501 and 1509, than apply into the LCM equation.
GCF(1501,1509) = 1
LCM(1501,1509) = ( 1501 × 1509) / 1
LCM(1501,1509) = 2265009 / 1
LCM(1501,1509) = 2265009
Properties of LCM 1501 and 1509
(i) The LCM of 1509 and 1501 is associative
LCM of 1501 and 1509 = LCM of 1509 and 1501
Related Least Common Multiples of 1501
Related Least Common Multiples of 1509
Frequently Asked Questions on LCM of 1501 and 1509
1. What is the LCM of 1501 and 1509?
Answer: LCM of 1501 and 1509 is 2265009.
2. What are the Factors of 1501?
Answer: Factors of 1501 are 1, 19, 79, 1501. There are 4 integers that are factors of 1501. The greatest factor of 1501 is 1501.
3. What are the Factors of 1509?
Answer: Factors of 1509 are 1, 3, 503, 1509. There are 4 integers that are factors of 1509. The greatest factor of 1509 is 1509.
4. How to Find the LCM of 1501 and 1509?
Answer:
Least Common Multiple of 1501 and 1509 = 2265009
Step 1: Find the prime factorization of 1501
1501 = 19 x 79
Step 2: Find the prime factorization of 1509
1509 = 3 x 503
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2265009 = 3 x 19 x 79 x 503
Step 4: Therefore, the least common multiple of 1501 and 1509 is 2265009.
