Least Common Multiple (LCM) of 147 and 146
The least common multiple (LCM) of 147 and 146 is 21462.
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 146?
First, calculate the GCD of 147 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 146 = 1 remainder 1 |
| 2 | 146 ÷ 1 = 146 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 189 | 24570 |
| 46 and 98 | 2254 |
| 12 and 129 | 516 |
| 75 and 64 | 4800 |
| 175 and 73 | 12775 |