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 |
|---|---|
| 24 and 144 | 144 |
| 123 and 32 | 3936 |
| 154 and 174 | 13398 |
| 145 and 129 | 18705 |
| 184 and 143 | 26312 |