Least Common Multiple (LCM) of 146 and 96
The least common multiple (LCM) of 146 and 96 is 7008.
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 96?
First, calculate the GCD of 146 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 96 = 1 remainder 50 |
| 2 | 96 ÷ 50 = 1 remainder 46 |
| 3 | 50 ÷ 46 = 1 remainder 4 |
| 4 | 46 ÷ 4 = 11 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 178 | 1780 |
| 114 and 177 | 6726 |
| 125 and 76 | 9500 |
| 160 and 59 | 9440 |
| 44 and 81 | 3564 |