Least Common Multiple (LCM) of 94 and 167
The least common multiple (LCM) of 94 and 167 is 15698.
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 94 and 167?
First, calculate the GCD of 94 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 167 = 0 remainder 94 |
| 2 | 167 ÷ 94 = 1 remainder 73 |
| 3 | 94 ÷ 73 = 1 remainder 21 |
| 4 | 73 ÷ 21 = 3 remainder 10 |
| 5 | 21 ÷ 10 = 2 remainder 1 |
| 6 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 46 | 2070 |
| 174 and 86 | 7482 |
| 189 and 81 | 567 |
| 182 and 120 | 10920 |
| 50 and 11 | 550 |