Least Common Multiple of 1479 and 1487
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1479 and 1487 the smallest integer that is 2199273 that is divisible by both numbers.
Least Common Multiple (LCM) of 1479 and 1487 is 2199273.
LCM(1479,1487) = 2199273
LCM of 1479 and 1487
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1479 and 1487 by Prime method
- Least Common Multiple of 1479 and 1487 with GCF Formula
LCM of 1479 and 1487 is 2199273
Least common multiple can be found by multiplying the highest exponent prime factors of 1479 and 1487. First we will calculate the prime factors of 1479 and 1487.
Prime Factorization of 1479
| 3 | 1479 |
| 17 | 493 |
| 29 | 29 |
| 1 |
Prime factors of 1479 are 3, 17,29. Prime factorization of 1479 in exponential form is:
1479 = 31×171×291
Prime Factorization of 1487
| 1487 | 1487 |
| 1 |
Prime factors of 1487 are 1487. Prime factorization of 1487 in exponential form is:
1487 = 14871
Now multiplying the highest exponent prime factors to calculate the LCM of 1479 and 1487.
LCM(1479,1487) = 31×171×291×14871
LCM(1479,1487) = 2199273
Factors of 1479
List of positive integer factors of 1479 that divides 1479 without a remainder.
1, 3, 17, 29, 51, 87, 493, 1479
Factors of 1487
List of positive integer factors of 1487 that divides 1487 without a remainder.
1, 1487
Least Common Multiple of 1479 and 1487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1479 and 1487, than apply into the LCM equation.
GCF(1479,1487) = 1
LCM(1479,1487) = ( 1479 × 1487) / 1
LCM(1479,1487) = 2199273 / 1
LCM(1479,1487) = 2199273
Properties of LCM 1479 and 1487
(i) The LCM of 1487 and 1479 is associative
LCM of 1479 and 1487 = LCM of 1487 and 1479
Related Least Common Multiples of 1479
Related Least Common Multiples of 1487
Frequently Asked Questions on LCM of 1479 and 1487
1. What is the LCM of 1479 and 1487?
Answer: LCM of 1479 and 1487 is 2199273.
2. What are the Factors of 1479?
Answer: Factors of 1479 are 1, 3, 17, 29, 51, 87, 493, 1479. There are 8 integers that are factors of 1479. The greatest factor of 1479 is 1479.
3. What are the Factors of 1487?
Answer: Factors of 1487 are 1, 1487. There are 2 integers that are factors of 1487. The greatest factor of 1487 is 1487.
4. How to Find the LCM of 1479 and 1487?
Answer:
Least Common Multiple of 1479 and 1487 = 2199273
Step 1: Find the prime factorization of 1479
1479 = 3 x 17 x 29
Step 2: Find the prime factorization of 1487
1487 = 1487
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2199273 = 3 x 17 x 29 x 1487
Step 4: Therefore, the least common multiple of 1479 and 1487 is 2199273.