Least Common Multiple of 1501 and 1502
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 1502 the smallest integer that is 2254502 that is divisible by both numbers.
Least Common Multiple (LCM) of 1501 and 1502 is 2254502.
LCM(1501,1502) = 2254502
LCM of 1501 and 1502
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1501 and 1502 by Prime method
- Least Common Multiple of 1501 and 1502 with GCF Formula
LCM of 1501 and 1502 is 2254502
Least common multiple can be found by multiplying the highest exponent prime factors of 1501 and 1502. First we will calculate the prime factors of 1501 and 1502.
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 1502
| 2 | 1502 |
| 751 | 751 |
| 1 |
Prime factors of 1502 are 2,751. Prime factorization of 1502 in exponential form is:
1502 = 21×7511
Now multiplying the highest exponent prime factors to calculate the LCM of 1501 and 1502.
LCM(1501,1502) = 21×191×791×7511
LCM(1501,1502) = 2254502
Factors of 1501
List of positive integer factors of 1501 that divides 1501 without a remainder.
1, 19, 79, 1501
Factors of 1502
List of positive integer factors of 1502 that divides 1502 without a remainder.
1, 2, 751, 1502
Least Common Multiple of 1501 and 1502 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 1502, than apply into the LCM equation.
GCF(1501,1502) = 1
LCM(1501,1502) = ( 1501 × 1502) / 1
LCM(1501,1502) = 2254502 / 1
LCM(1501,1502) = 2254502
Properties of LCM 1501 and 1502
(i) The LCM of 1502 and 1501 is associative
LCM of 1501 and 1502 = LCM of 1502 and 1501
Related Least Common Multiples of 1501
Related Least Common Multiples of 1502
Frequently Asked Questions on LCM of 1501 and 1502
1. What is the LCM of 1501 and 1502?
Answer: LCM of 1501 and 1502 is 2254502.
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 1502?
Answer: Factors of 1502 are 1, 2, 751, 1502. There are 4 integers that are factors of 1502. The greatest factor of 1502 is 1502.
4. How to Find the LCM of 1501 and 1502?
Answer:
Least Common Multiple of 1501 and 1502 = 2254502
Step 1: Find the prime factorization of 1501
1501 = 19 x 79
Step 2: Find the prime factorization of 1502
1502 = 2 x 751
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2254502 = 2 x 19 x 79 x 751
Step 4: Therefore, the least common multiple of 1501 and 1502 is 2254502.
