Least Common Multiple (LCM) of 158 and 173
The least common multiple (LCM) of 158 and 173 is 27334.
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 173?
First, calculate the GCD of 158 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 173 = 0 remainder 158 |
| 2 | 173 ÷ 158 = 1 remainder 15 |
| 3 | 158 ÷ 15 = 10 remainder 8 |
| 4 | 15 ÷ 8 = 1 remainder 7 |
| 5 | 8 ÷ 7 = 1 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 113 | 19775 |
| 14 and 26 | 182 |
| 148 and 117 | 17316 |
| 180 and 46 | 4140 |
| 54 and 15 | 270 |