Least Common Multiple (LCM) of 177 and 148
The least common multiple (LCM) of 177 and 148 is 26196.
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 177 and 148?
First, calculate the GCD of 177 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 148 = 1 remainder 29 |
| 2 | 148 ÷ 29 = 5 remainder 3 |
| 3 | 29 ÷ 3 = 9 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 148 | 4292 |
| 112 and 21 | 336 |
| 180 and 121 | 21780 |
| 65 and 34 | 2210 |
| 155 and 85 | 2635 |