Least Common Multiple of 1469 and 1475
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1469 and 1475 the smallest integer that is 2166775 that is divisible by both numbers.
Least Common Multiple (LCM) of 1469 and 1475 is 2166775.
LCM(1469,1475) = 2166775
LCM of 1469 and 1475
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1469 and 1475 by Prime method
- Least Common Multiple of 1469 and 1475 with GCF Formula
LCM of 1469 and 1475 is 2166775
Least common multiple can be found by multiplying the highest exponent prime factors of 1469 and 1475. First we will calculate the prime factors of 1469 and 1475.
Prime Factorization of 1469
| 13 | 1469 |
| 113 | 113 |
| 1 |
Prime factors of 1469 are 13,113. Prime factorization of 1469 in exponential form is:
1469 = 131×1131
Prime Factorization of 1475
| 5 | 1475 |
| 5 | 295 |
| 59 | 59 |
| 1 |
Prime factors of 1475 are 5,59. Prime factorization of 1475 in exponential form is:
1475 = 52×591
Now multiplying the highest exponent prime factors to calculate the LCM of 1469 and 1475.
LCM(1469,1475) = 52×131×591×1131
LCM(1469,1475) = 2166775
Factors of 1469
List of positive integer factors of 1469 that divides 1469 without a remainder.
1, 13, 113, 1469
Factors of 1475
List of positive integer factors of 1475 that divides 1475 without a remainder.
1, 5, 25, 59, 295, 1475
Least Common Multiple of 1469 and 1475 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1469 and 1475, than apply into the LCM equation.
GCF(1469,1475) = 1
LCM(1469,1475) = ( 1469 × 1475) / 1
LCM(1469,1475) = 2166775 / 1
LCM(1469,1475) = 2166775
Properties of LCM 1469 and 1475
(i) The LCM of 1475 and 1469 is associative
LCM of 1469 and 1475 = LCM of 1475 and 1469
Related Least Common Multiples of 1469
Related Least Common Multiples of 1475
Frequently Asked Questions on LCM of 1469 and 1475
1. What is the LCM of 1469 and 1475?
Answer: LCM of 1469 and 1475 is 2166775.
2. What are the Factors of 1469?
Answer: Factors of 1469 are 1, 13, 113, 1469. There are 4 integers that are factors of 1469. The greatest factor of 1469 is 1469.
3. What are the Factors of 1475?
Answer: Factors of 1475 are 1, 5, 25, 59, 295, 1475. There are 6 integers that are factors of 1475. The greatest factor of 1475 is 1475.
4. How to Find the LCM of 1469 and 1475?
Answer:
Least Common Multiple of 1469 and 1475 = 2166775
Step 1: Find the prime factorization of 1469
1469 = 13 x 113
Step 2: Find the prime factorization of 1475
1475 = 5 x 5 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2166775 = 5 x 5 x 13 x 59 x 113
Step 4: Therefore, the least common multiple of 1469 and 1475 is 2166775.