Least Common Multiple (LCM) of 146 and 88
The least common multiple (LCM) of 146 and 88 is 6424.
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 88?
First, calculate the GCD of 146 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 88 = 1 remainder 58 |
| 2 | 88 ÷ 58 = 1 remainder 30 |
| 3 | 58 ÷ 30 = 1 remainder 28 |
| 4 | 30 ÷ 28 = 1 remainder 2 |
| 5 | 28 ÷ 2 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 85 | 2210 |
| 87 and 106 | 9222 |
| 101 and 35 | 3535 |
| 21 and 119 | 357 |
| 83 and 85 | 7055 |