Least Common Multiple of 501 and 507
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 501 and 507 the smallest integer that is 84669 that is divisible by both numbers.
Least Common Multiple (LCM) of 501 and 507 is 84669.
LCM(501,507) = 84669
LCM of 501 and 507
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 501 and 507 by Prime method
- Least Common Multiple of 501 and 507 with GCF Formula
LCM of 501 and 507 is 84669
Least common multiple can be found by multiplying the highest exponent prime factors of 501 and 507. First we will calculate the prime factors of 501 and 507.
Prime Factorization of 501
| 3 | 501 |
| 167 | 167 |
| 1 |
Prime factors of 501 are 3,167. Prime factorization of 501 in exponential form is:
501 = 31×1671
Prime Factorization of 507
| 3 | 507 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 507 are 3,13. Prime factorization of 507 in exponential form is:
507 = 31×132
Now multiplying the highest exponent prime factors to calculate the LCM of 501 and 507.
LCM(501,507) = 31×132×1671
LCM(501,507) = 84669
Factors of 501
List of positive integer factors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Least Common Multiple of 501 and 507 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 501 and 507, than apply into the LCM equation.
GCF(501,507) = 3
LCM(501,507) = ( 501 × 507) / 3
LCM(501,507) = 254007 / 3
LCM(501,507) = 84669
Properties of LCM 501 and 507
(i) The LCM of 507 and 501 is associative
LCM of 501 and 507 = LCM of 507 and 501
Related Least Common Multiples of 501
Related Least Common Multiples of 507
Frequently Asked Questions on LCM of 501 and 507
1. What is the LCM of 501 and 507?
Answer: LCM of 501 and 507 is 84669.
2. What are the Factors of 501?
Answer: Factors of 501 are 1, 3, 167, 501. There are 4 integers that are factors of 501. The greatest factor of 501 is 501.
3. What are the Factors of 507?
Answer: Factors of 507 are 1, 3, 13, 39, 169, 507. There are 6 integers that are factors of 507. The greatest factor of 507 is 507.
4. How to Find the LCM of 501 and 507?
Answer:
Least Common Multiple of 501 and 507 = 84669
Step 1: Find the prime factorization of 501
501 = 3 x 167
Step 2: Find the prime factorization of 507
507 = 3 x 13 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 84669 = 3 x 13 x 13 x 167
Step 4: Therefore, the least common multiple of 501 and 507 is 84669.