Least Common Multiple of 50 and 58
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 58 the smallest integer that is 1450 that is divisible by both numbers.
Least Common Multiple (LCM) of 50 and 58 is 1450.
LCM(50,58) = 1450
LCM of 50 and 58
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 50 and 58 by Prime method
- Least Common Multiple of 50 and 58 with GCF Formula
LCM of 50 and 58 is 1450
Least common multiple can be found by multiplying the highest exponent prime factors of 50 and 58. First we will calculate the prime factors of 50 and 58.
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 58
| 2 | 58 |
| 29 | 29 |
| 1 |
Prime factors of 58 are 2,29. Prime factorization of 58 in exponential form is:
58 = 21×291
Now multiplying the highest exponent prime factors to calculate the LCM of 50 and 58.
LCM(50,58) = 21×52×291
LCM(50,58) = 1450
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Least Common Multiple of 50 and 58 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 58, than apply into the LCM equation.
GCF(50,58) = 2
LCM(50,58) = ( 50 × 58) / 2
LCM(50,58) = 2900 / 2
LCM(50,58) = 1450
Properties of LCM 50 and 58
(i) The LCM of 58 and 50 is associative
LCM of 50 and 58 = LCM of 58 and 50
Related Least Common Multiples of 50
Related Least Common Multiples of 58
Frequently Asked Questions on LCM of 50 and 58
1. What is the LCM of 50 and 58?
Answer: LCM of 50 and 58 is 1450.
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 58?
Answer: Factors of 58 are 1, 2, 29, 58. There are 4 integers that are factors of 58. The greatest factor of 58 is 58.
4. How to Find the LCM of 50 and 58?
Answer:
Least Common Multiple of 50 and 58 = 1450
Step 1: Find the prime factorization of 50
50 = 2 x 5 x 5
Step 2: Find the prime factorization of 58
58 = 2 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1450 = 2 x 5 x 5 x 29
Step 4: Therefore, the least common multiple of 50 and 58 is 1450.
