Least Common Multiple (LCM) of 119 and 166
The least common multiple (LCM) of 119 and 166 is 19754.
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 119 and 166?
First, calculate the GCD of 119 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 166 = 0 remainder 119 |
| 2 | 166 ÷ 119 = 1 remainder 47 |
| 3 | 119 ÷ 47 = 2 remainder 25 |
| 4 | 47 ÷ 25 = 1 remainder 22 |
| 5 | 25 ÷ 22 = 1 remainder 3 |
| 6 | 22 ÷ 3 = 7 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 47 and 72 | 3384 |
| 159 and 170 | 27030 |
| 31 and 77 | 2387 |
| 79 and 41 | 3239 |
| 137 and 64 | 8768 |