Least Common Multiple (LCM) of 124 and 177
The least common multiple (LCM) of 124 and 177 is 21948.
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 124 and 177?
First, calculate the GCD of 124 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 177 = 0 remainder 124 |
| 2 | 177 ÷ 124 = 1 remainder 53 |
| 3 | 124 ÷ 53 = 2 remainder 18 |
| 4 | 53 ÷ 18 = 2 remainder 17 |
| 5 | 18 ÷ 17 = 1 remainder 1 |
| 6 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 70 | 2380 |
| 97 and 190 | 18430 |
| 135 and 45 | 135 |
| 38 and 84 | 1596 |
| 164 and 185 | 30340 |