Least Common Multiple (LCM) of 171 and 124
The least common multiple (LCM) of 171 and 124 is 21204.
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 171 and 124?
First, calculate the GCD of 171 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 124 = 1 remainder 47 |
| 2 | 124 ÷ 47 = 2 remainder 30 |
| 3 | 47 ÷ 30 = 1 remainder 17 |
| 4 | 30 ÷ 17 = 1 remainder 13 |
| 5 | 17 ÷ 13 = 1 remainder 4 |
| 6 | 13 ÷ 4 = 3 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 83 | 11952 |
| 199 and 109 | 21691 |
| 10 and 42 | 210 |
| 152 and 107 | 16264 |
| 44 and 183 | 8052 |