Least Common Multiple (LCM) of 175 and 58
The least common multiple (LCM) of 175 and 58 is 10150.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 175 and 58?
First, calculate the GCD of 175 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 58 = 3 remainder 1 |
| 2 | 58 ÷ 1 = 58 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 145 | 25955 |
| 79 and 154 | 12166 |
| 122 and 91 | 11102 |
| 22 and 107 | 2354 |
| 200 and 125 | 1000 |