Least Common Multiple (LCM) of 158 and 175
The least common multiple (LCM) of 158 and 175 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 158 and 175?
First, calculate the GCD of 158 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 175 = 0 remainder 158 |
| 2 | 175 ÷ 158 = 1 remainder 17 |
| 3 | 158 ÷ 17 = 9 remainder 5 |
| 4 | 17 ÷ 5 = 3 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 158 | 13746 |
| 48 and 175 | 8400 |
| 116 and 184 | 5336 |
| 154 and 80 | 6160 |
| 93 and 85 | 7905 |