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 |
|---|---|
| 120 and 51 | 2040 |
| 42 and 57 | 798 |
| 122 and 200 | 12200 |
| 69 and 116 | 8004 |
| 95 and 25 | 475 |