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 |
|---|---|
| 49 and 98 | 98 |
| 57 and 162 | 3078 |
| 88 and 83 | 7304 |
| 54 and 139 | 7506 |
| 87 and 74 | 6438 |