Least Common Multiple (LCM) of 164 and 94
The least common multiple (LCM) of 164 and 94 is 7708.
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 164 and 94?
First, calculate the GCD of 164 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 94 = 1 remainder 70 |
| 2 | 94 ÷ 70 = 1 remainder 24 |
| 3 | 70 ÷ 24 = 2 remainder 22 |
| 4 | 24 ÷ 22 = 1 remainder 2 |
| 5 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 129 | 7224 |
| 109 and 17 | 1853 |
| 76 and 181 | 13756 |
| 150 and 28 | 2100 |
| 178 and 159 | 28302 |