Least Common Multiple (LCM) of 146 and 114
The least common multiple (LCM) of 146 and 114 is 8322.
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 114?
First, calculate the GCD of 146 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 114 = 1 remainder 32 |
| 2 | 114 ÷ 32 = 3 remainder 18 |
| 3 | 32 ÷ 18 = 1 remainder 14 |
| 4 | 18 ÷ 14 = 1 remainder 4 |
| 5 | 14 ÷ 4 = 3 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 104 | 936 |
| 122 and 185 | 22570 |
| 196 and 101 | 19796 |
| 170 and 59 | 10030 |
| 73 and 30 | 2190 |