Least Common Multiple (LCM) of 147 and 158
The least common multiple (LCM) of 147 and 158 is 23226.
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 147 and 158?
First, calculate the GCD of 147 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 158 = 0 remainder 147 |
| 2 | 158 ÷ 147 = 1 remainder 11 |
| 3 | 147 ÷ 11 = 13 remainder 4 |
| 4 | 11 ÷ 4 = 2 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 54 | 270 |
| 140 and 31 | 4340 |
| 167 and 171 | 28557 |
| 146 and 196 | 14308 |
| 80 and 149 | 11920 |