Least Common Multiple of 1501 and 1507
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 1507 the smallest integer that is 2262007 that is divisible by both numbers.
Least Common Multiple (LCM) of 1501 and 1507 is 2262007.
LCM(1501,1507) = 2262007
LCM of 1501 and 1507
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1501 and 1507 by Prime method
- Least Common Multiple of 1501 and 1507 with GCF Formula
LCM of 1501 and 1507 is 2262007
Least common multiple can be found by multiplying the highest exponent prime factors of 1501 and 1507. First we will calculate the prime factors of 1501 and 1507.
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 1507
| 11 | 1507 |
| 137 | 137 |
| 1 |
Prime factors of 1507 are 11,137. Prime factorization of 1507 in exponential form is:
1507 = 111×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 1501 and 1507.
LCM(1501,1507) = 111×191×791×1371
LCM(1501,1507) = 2262007
Factors of 1501
List of positive integer factors of 1501 that divides 1501 without a remainder.
1, 19, 79, 1501
Factors of 1507
List of positive integer factors of 1507 that divides 1507 without a remainder.
1, 11, 137, 1507
Least Common Multiple of 1501 and 1507 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 1507, than apply into the LCM equation.
GCF(1501,1507) = 1
LCM(1501,1507) = ( 1501 × 1507) / 1
LCM(1501,1507) = 2262007 / 1
LCM(1501,1507) = 2262007
Properties of LCM 1501 and 1507
(i) The LCM of 1507 and 1501 is associative
LCM of 1501 and 1507 = LCM of 1507 and 1501
Related Least Common Multiples of 1501
Related Least Common Multiples of 1507
Frequently Asked Questions on LCM of 1501 and 1507
1. What is the LCM of 1501 and 1507?
Answer: LCM of 1501 and 1507 is 2262007.
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 1507?
Answer: Factors of 1507 are 1, 11, 137, 1507. There are 4 integers that are factors of 1507. The greatest factor of 1507 is 1507.
4. How to Find the LCM of 1501 and 1507?
Answer:
Least Common Multiple of 1501 and 1507 = 2262007
Step 1: Find the prime factorization of 1501
1501 = 19 x 79
Step 2: Find the prime factorization of 1507
1507 = 11 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2262007 = 11 x 19 x 79 x 137
Step 4: Therefore, the least common multiple of 1501 and 1507 is 2262007.
