Least Common Multiple (LCM) of 163 and 94
The least common multiple (LCM) of 163 and 94 is 15322.
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 163 and 94?
First, calculate the GCD of 163 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 94 = 1 remainder 69 |
| 2 | 94 ÷ 69 = 1 remainder 25 |
| 3 | 69 ÷ 25 = 2 remainder 19 |
| 4 | 25 ÷ 19 = 1 remainder 6 |
| 5 | 19 ÷ 6 = 3 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 70 | 2380 |
| 161 and 131 | 21091 |
| 38 and 80 | 1520 |
| 120 and 88 | 1320 |
| 190 and 23 | 4370 |