Least Common Multiple (LCM) of 147 and 134
The least common multiple (LCM) of 147 and 134 is 19698.
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 134?
First, calculate the GCD of 147 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 134 = 1 remainder 13 |
| 2 | 134 ÷ 13 = 10 remainder 4 |
| 3 | 13 ÷ 4 = 3 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 159 | 7314 |
| 128 and 46 | 2944 |
| 29 and 92 | 2668 |
| 146 and 75 | 10950 |
| 180 and 128 | 5760 |