Least Common Multiple (LCM) of 146 and 177
The least common multiple (LCM) of 146 and 177 is 25842.
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 177?
First, calculate the GCD of 146 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 177 = 0 remainder 146 |
| 2 | 177 ÷ 146 = 1 remainder 31 |
| 3 | 146 ÷ 31 = 4 remainder 22 |
| 4 | 31 ÷ 22 = 1 remainder 9 |
| 5 | 22 ÷ 9 = 2 remainder 4 |
| 6 | 9 ÷ 4 = 2 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 128 | 10624 |
| 180 and 155 | 5580 |
| 139 and 116 | 16124 |
| 160 and 164 | 6560 |
| 116 and 131 | 15196 |