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 |
|---|---|
| 128 and 83 | 10624 |
| 94 and 108 | 5076 |
| 46 and 198 | 4554 |
| 176 and 77 | 1232 |
| 100 and 164 | 4100 |