Least Common Multiple of 1494 and 1501
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1494 and 1501 the smallest integer that is 2242494 that is divisible by both numbers.
Least Common Multiple (LCM) of 1494 and 1501 is 2242494.
LCM(1494,1501) = 2242494
LCM of 1494 and 1501
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1494 and 1501 by Prime method
- Least Common Multiple of 1494 and 1501 with GCF Formula
LCM of 1494 and 1501 is 2242494
Least common multiple can be found by multiplying the highest exponent prime factors of 1494 and 1501. First we will calculate the prime factors of 1494 and 1501.
Prime Factorization of 1494
| 2 | 1494 |
| 3 | 747 |
| 3 | 249 |
| 83 | 83 |
| 1 |
Prime factors of 1494 are 2, 3,83. Prime factorization of 1494 in exponential form is:
1494 = 21×32×831
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1494 and 1501.
LCM(1494,1501) = 21×32×191×791×831
LCM(1494,1501) = 2242494
Factors of 1494
List of positive integer factors of 1494 that divides 1494 without a remainder.
1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, 1494
Factors of 1501
List of positive integer factors of 1501 that divides 1501 without a remainder.
1, 19, 79, 1501
Least Common Multiple of 1494 and 1501 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1494 and 1501, than apply into the LCM equation.
GCF(1494,1501) = 1
LCM(1494,1501) = ( 1494 × 1501) / 1
LCM(1494,1501) = 2242494 / 1
LCM(1494,1501) = 2242494
Properties of LCM 1494 and 1501
(i) The LCM of 1501 and 1494 is associative
LCM of 1494 and 1501 = LCM of 1501 and 1494
Related Least Common Multiples of 1494
Related Least Common Multiples of 1501
Frequently Asked Questions on LCM of 1494 and 1501
1. What is the LCM of 1494 and 1501?
Answer: LCM of 1494 and 1501 is 2242494.
2. What are the Factors of 1494?
Answer: Factors of 1494 are 1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, 1494. There are 12 integers that are factors of 1494. The greatest factor of 1494 is 1494.
3. 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.
4. How to Find the LCM of 1494 and 1501?
Answer:
Least Common Multiple of 1494 and 1501 = 2242494
Step 1: Find the prime factorization of 1494
1494 = 2 x 3 x 3 x 83
Step 2: Find the prime factorization of 1501
1501 = 19 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2242494 = 2 x 3 x 3 x 19 x 79 x 83
Step 4: Therefore, the least common multiple of 1494 and 1501 is 2242494.