Least Common Multiple of 1250 and 1253
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1250 and 1253 the smallest integer that is 1566250 that is divisible by both numbers.
Least Common Multiple (LCM) of 1250 and 1253 is 1566250.
LCM(1250,1253) = 1566250
LCM of 1250 and 1253
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1250 and 1253 by Prime method
- Least Common Multiple of 1250 and 1253 with GCF Formula
LCM of 1250 and 1253 is 1566250
Least common multiple can be found by multiplying the highest exponent prime factors of 1250 and 1253. First we will calculate the prime factors of 1250 and 1253.
Prime Factorization of 1250
| 2 | 1250 |
| 5 | 625 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 1250 are 2,5. Prime factorization of 1250 in exponential form is:
1250 = 21×54
Prime Factorization of 1253
| 7 | 1253 |
| 179 | 179 |
| 1 |
Prime factors of 1253 are 7,179. Prime factorization of 1253 in exponential form is:
1253 = 71×1791
Now multiplying the highest exponent prime factors to calculate the LCM of 1250 and 1253.
LCM(1250,1253) = 21×54×71×1791
LCM(1250,1253) = 1566250
Factors of 1250
List of positive integer factors of 1250 that divides 1250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250, 625, 1250
Factors of 1253
List of positive integer factors of 1253 that divides 1253 without a remainder.
1, 7, 179, 1253
Least Common Multiple of 1250 and 1253 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1250 and 1253, than apply into the LCM equation.
GCF(1250,1253) = 1
LCM(1250,1253) = ( 1250 × 1253) / 1
LCM(1250,1253) = 1566250 / 1
LCM(1250,1253) = 1566250
Properties of LCM 1250 and 1253
(i) The LCM of 1253 and 1250 is associative
LCM of 1250 and 1253 = LCM of 1253 and 1250
Related Least Common Multiples of 1250
Related Least Common Multiples of 1253
Frequently Asked Questions on LCM of 1250 and 1253
1. What is the LCM of 1250 and 1253?
Answer: LCM of 1250 and 1253 is 1566250.
2. What are the Factors of 1250?
Answer: Factors of 1250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250. There are 10 integers that are factors of 1250. The greatest factor of 1250 is 1250.
3. What are the Factors of 1253?
Answer: Factors of 1253 are 1, 7, 179, 1253. There are 4 integers that are factors of 1253. The greatest factor of 1253 is 1253.
4. How to Find the LCM of 1250 and 1253?
Answer:
Least Common Multiple of 1250 and 1253 = 1566250
Step 1: Find the prime factorization of 1250
1250 = 2 x 5 x 5 x 5 x 5
Step 2: Find the prime factorization of 1253
1253 = 7 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1566250 = 2 x 5 x 5 x 5 x 5 x 7 x 179
Step 4: Therefore, the least common multiple of 1250 and 1253 is 1566250.
