Least Common Multiple of 1450 and 1457
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1450 and 1457 the smallest integer that is 2112650 that is divisible by both numbers.
Least Common Multiple (LCM) of 1450 and 1457 is 2112650.
LCM(1450,1457) = 2112650
LCM of 1450 and 1457
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1450 and 1457 by Prime method
- Least Common Multiple of 1450 and 1457 with GCF Formula
LCM of 1450 and 1457 is 2112650
Least common multiple can be found by multiplying the highest exponent prime factors of 1450 and 1457. First we will calculate the prime factors of 1450 and 1457.
Prime Factorization of 1450
| 2 | 1450 |
| 5 | 725 |
| 5 | 145 |
| 29 | 29 |
| 1 |
Prime factors of 1450 are 2, 5,29. Prime factorization of 1450 in exponential form is:
1450 = 21×52×291
Prime Factorization of 1457
| 31 | 1457 |
| 47 | 47 |
| 1 |
Prime factors of 1457 are 31,47. Prime factorization of 1457 in exponential form is:
1457 = 311×471
Now multiplying the highest exponent prime factors to calculate the LCM of 1450 and 1457.
LCM(1450,1457) = 21×52×291×311×471
LCM(1450,1457) = 2112650
Factors of 1450
List of positive integer factors of 1450 that divides 1450 without a remainder.
1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, 1450
Factors of 1457
List of positive integer factors of 1457 that divides 1457 without a remainder.
1, 31, 47, 1457
Least Common Multiple of 1450 and 1457 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1450 and 1457, than apply into the LCM equation.
GCF(1450,1457) = 1
LCM(1450,1457) = ( 1450 × 1457) / 1
LCM(1450,1457) = 2112650 / 1
LCM(1450,1457) = 2112650
Properties of LCM 1450 and 1457
(i) The LCM of 1457 and 1450 is associative
LCM of 1450 and 1457 = LCM of 1457 and 1450
Related Least Common Multiples of 1450
Related Least Common Multiples of 1457
Frequently Asked Questions on LCM of 1450 and 1457
1. What is the LCM of 1450 and 1457?
Answer: LCM of 1450 and 1457 is 2112650.
2. What are the Factors of 1450?
Answer: Factors of 1450 are 1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, 1450. There are 12 integers that are factors of 1450. The greatest factor of 1450 is 1450.
3. What are the Factors of 1457?
Answer: Factors of 1457 are 1, 31, 47, 1457. There are 4 integers that are factors of 1457. The greatest factor of 1457 is 1457.
4. How to Find the LCM of 1450 and 1457?
Answer:
Least Common Multiple of 1450 and 1457 = 2112650
Step 1: Find the prime factorization of 1450
1450 = 2 x 5 x 5 x 29
Step 2: Find the prime factorization of 1457
1457 = 31 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2112650 = 2 x 5 x 5 x 29 x 31 x 47
Step 4: Therefore, the least common multiple of 1450 and 1457 is 2112650.