Least Common Multiple (LCM) of 175 and 158
The least common multiple (LCM) of 175 and 158 is 27650.
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 158?
First, calculate the GCD of 175 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 158 = 1 remainder 17 |
| 2 | 158 ÷ 17 = 9 remainder 5 |
| 3 | 17 ÷ 5 = 3 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 28 | 2268 |
| 155 and 164 | 25420 |
| 63 and 152 | 9576 |
| 117 and 115 | 13455 |
| 104 and 56 | 728 |