Least Common Multiple (LCM) of 146 and 147
The least common multiple (LCM) of 146 and 147 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 146 and 147?
First, calculate the GCD of 146 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 147 = 0 remainder 146 |
| 2 | 147 ÷ 146 = 1 remainder 1 |
| 3 | 146 ÷ 1 = 146 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 99 | 15345 |
| 126 and 105 | 630 |
| 116 and 189 | 21924 |
| 172 and 17 | 2924 |
| 85 and 57 | 4845 |