Least Common Multiple (LCM) of 124 and 166
The least common multiple (LCM) of 124 and 166 is 10292.
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 166?
First, calculate the GCD of 124 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 166 = 0 remainder 124 |
| 2 | 166 ÷ 124 = 1 remainder 42 |
| 3 | 124 ÷ 42 = 2 remainder 40 |
| 4 | 42 ÷ 40 = 1 remainder 2 |
| 5 | 40 ÷ 2 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 142 | 6248 |
| 38 and 20 | 380 |
| 111 and 33 | 1221 |
| 88 and 96 | 1056 |
| 164 and 132 | 5412 |