Least Common Multiple of 50 and 53
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 50 and 53 the smallest integer that is 2650 that is divisible by both numbers.
Least Common Multiple (LCM) of 50 and 53 is 2650.
LCM(50,53) = 2650
LCM of 50 and 53
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 50 and 53 by Prime method
- Least Common Multiple of 50 and 53 with GCF Formula
LCM of 50 and 53 is 2650
Least common multiple can be found by multiplying the highest exponent prime factors of 50 and 53. First we will calculate the prime factors of 50 and 53.
Prime Factorization of 50
| 2 | 50 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 50 are 2,5. Prime factorization of 50 in exponential form is:
50 = 21×52
Prime Factorization of 53
| 53 | 53 |
| 1 |
Prime factors of 53 are 53. Prime factorization of 53 in exponential form is:
53 = 531
Now multiplying the highest exponent prime factors to calculate the LCM of 50 and 53.
LCM(50,53) = 21×52×531
LCM(50,53) = 2650
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1, 53
Least Common Multiple of 50 and 53 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50 and 53, than apply into the LCM equation.
GCF(50,53) = 1
LCM(50,53) = ( 50 × 53) / 1
LCM(50,53) = 2650 / 1
LCM(50,53) = 2650
Properties of LCM 50 and 53
(i) The LCM of 53 and 50 is associative
LCM of 50 and 53 = LCM of 53 and 50
Related Least Common Multiples of 50
Related Least Common Multiples of 53
Frequently Asked Questions on LCM of 50 and 53
1. What is the LCM of 50 and 53?
Answer: LCM of 50 and 53 is 2650.
2. What are the Factors of 50?
Answer: Factors of 50 are 1, 2, 5, 10, 25, 50. There are 6 integers that are factors of 50. The greatest factor of 50 is 50.
3. What are the Factors of 53?
Answer: Factors of 53 are 1, 53. There are 2 integers that are factors of 53. The greatest factor of 53 is 53.
4. How to Find the LCM of 50 and 53?
Answer:
Least Common Multiple of 50 and 53 = 2650
Step 1: Find the prime factorization of 50
50 = 2 x 5 x 5
Step 2: Find the prime factorization of 53
53 = 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2650 = 2 x 5 x 5 x 53
Step 4: Therefore, the least common multiple of 50 and 53 is 2650.