Least Common Multiple (LCM) of 49 and 166
The least common multiple (LCM) of 49 and 166 is 8134.
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 49 and 166?
First, calculate the GCD of 49 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 49 ÷ 166 = 0 remainder 49 |
| 2 | 166 ÷ 49 = 3 remainder 19 |
| 3 | 49 ÷ 19 = 2 remainder 11 |
| 4 | 19 ÷ 11 = 1 remainder 8 |
| 5 | 11 ÷ 8 = 1 remainder 3 |
| 6 | 8 ÷ 3 = 2 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 65 | 2080 |
| 104 and 105 | 10920 |
| 140 and 63 | 1260 |
| 108 and 53 | 5724 |
| 163 and 47 | 7661 |