Least Common Multiple (LCM) of 146 and 108
The least common multiple (LCM) of 146 and 108 is 7884.
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 108?
First, calculate the GCD of 146 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 108 = 1 remainder 38 |
| 2 | 108 ÷ 38 = 2 remainder 32 |
| 3 | 38 ÷ 32 = 1 remainder 6 |
| 4 | 32 ÷ 6 = 5 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 191 | 8022 |
| 149 and 196 | 29204 |
| 160 and 110 | 1760 |
| 141 and 55 | 7755 |
| 21 and 165 | 1155 |