Least Common Multiple (LCM) of 148 and 177
The least common multiple (LCM) of 148 and 177 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 148 and 177?
First, calculate the GCD of 148 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 177 = 0 remainder 148 |
| 2 | 177 ÷ 148 = 1 remainder 29 |
| 3 | 148 ÷ 29 = 5 remainder 3 |
| 4 | 29 ÷ 3 = 9 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 121 | 12826 |
| 138 and 50 | 3450 |
| 99 and 126 | 1386 |
| 181 and 121 | 21901 |
| 110 and 19 | 2090 |