Least Common Multiple of 50 and 55
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 55 the smallest integer that is 550 that is divisible by both numbers.
Least Common Multiple (LCM) of 50 and 55 is 550.
LCM(50,55) = 550
LCM of 50 and 55
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 50 and 55 by Prime method
- Least Common Multiple of 50 and 55 with GCF Formula
LCM of 50 and 55 is 550
Least common multiple can be found by multiplying the highest exponent prime factors of 50 and 55. First we will calculate the prime factors of 50 and 55.
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 55
| 5 | 55 |
| 11 | 11 |
| 1 |
Prime factors of 55 are 5,11. Prime factorization of 55 in exponential form is:
55 = 51×111
Now multiplying the highest exponent prime factors to calculate the LCM of 50 and 55.
LCM(50,55) = 21×52×111
LCM(50,55) = 550
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Least Common Multiple of 50 and 55 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 55, than apply into the LCM equation.
GCF(50,55) = 5
LCM(50,55) = ( 50 × 55) / 5
LCM(50,55) = 2750 / 5
LCM(50,55) = 550
Properties of LCM 50 and 55
(i) The LCM of 55 and 50 is associative
LCM of 50 and 55 = LCM of 55 and 50
Related Least Common Multiples of 50
Related Least Common Multiples of 55
Frequently Asked Questions on LCM of 50 and 55
1. What is the LCM of 50 and 55?
Answer: LCM of 50 and 55 is 550.
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 55?
Answer: Factors of 55 are 1, 5, 11, 55. There are 4 integers that are factors of 55. The greatest factor of 55 is 55.
4. How to Find the LCM of 50 and 55?
Answer:
Least Common Multiple of 50 and 55 = 550
Step 1: Find the prime factorization of 50
50 = 2 x 5 x 5
Step 2: Find the prime factorization of 55
55 = 5 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 550 = 2 x 5 x 5 x 11
Step 4: Therefore, the least common multiple of 50 and 55 is 550.