Least Common Multiple of 1465 and 1470
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1465 and 1470 the smallest integer that is 430710 that is divisible by both numbers.
Least Common Multiple (LCM) of 1465 and 1470 is 430710.
LCM(1465,1470) = 430710
LCM of 1465 and 1470
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1465 and 1470 by Prime method
- Least Common Multiple of 1465 and 1470 with GCF Formula
LCM of 1465 and 1470 is 430710
Least common multiple can be found by multiplying the highest exponent prime factors of 1465 and 1470. First we will calculate the prime factors of 1465 and 1470.
Prime Factorization of 1465
| 5 | 1465 |
| 293 | 293 |
| 1 |
Prime factors of 1465 are 5,293. Prime factorization of 1465 in exponential form is:
1465 = 51×2931
Prime Factorization of 1470
| 2 | 1470 |
| 3 | 735 |
| 5 | 245 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 1470 are 2, 3, 5,7. Prime factorization of 1470 in exponential form is:
1470 = 21×31×51×72
Now multiplying the highest exponent prime factors to calculate the LCM of 1465 and 1470.
LCM(1465,1470) = 21×31×51×72×2931
LCM(1465,1470) = 430710
Factors of 1465
List of positive integer factors of 1465 that divides 1465 without a remainder.
1, 5, 293, 1465
Factors of 1470
List of positive integer factors of 1470 that divides 1470 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, 1470
Least Common Multiple of 1465 and 1470 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1465 and 1470, than apply into the LCM equation.
GCF(1465,1470) = 5
LCM(1465,1470) = ( 1465 × 1470) / 5
LCM(1465,1470) = 2153550 / 5
LCM(1465,1470) = 430710
Properties of LCM 1465 and 1470
(i) The LCM of 1470 and 1465 is associative
LCM of 1465 and 1470 = LCM of 1470 and 1465
Related Least Common Multiples of 1465
Related Least Common Multiples of 1470
Frequently Asked Questions on LCM of 1465 and 1470
1. What is the LCM of 1465 and 1470?
Answer: LCM of 1465 and 1470 is 430710.
2. What are the Factors of 1465?
Answer: Factors of 1465 are 1, 5, 293, 1465. There are 4 integers that are factors of 1465. The greatest factor of 1465 is 1465.
3. What are the Factors of 1470?
Answer: Factors of 1470 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, 1470. There are 24 integers that are factors of 1470. The greatest factor of 1470 is 1470.
4. How to Find the LCM of 1465 and 1470?
Answer:
Least Common Multiple of 1465 and 1470 = 430710
Step 1: Find the prime factorization of 1465
1465 = 5 x 293
Step 2: Find the prime factorization of 1470
1470 = 2 x 3 x 5 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 430710 = 2 x 3 x 5 x 7 x 7 x 293
Step 4: Therefore, the least common multiple of 1465 and 1470 is 430710.