Least Common Multiple (LCM) of 95 and 164
The least common multiple (LCM) of 95 and 164 is 15580.
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 95 and 164?
First, calculate the GCD of 95 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 164 = 0 remainder 95 |
| 2 | 164 ÷ 95 = 1 remainder 69 |
| 3 | 95 ÷ 69 = 1 remainder 26 |
| 4 | 69 ÷ 26 = 2 remainder 17 |
| 5 | 26 ÷ 17 = 1 remainder 9 |
| 6 | 17 ÷ 9 = 1 remainder 8 |
| 7 | 9 ÷ 8 = 1 remainder 1 |
| 8 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 24 | 3192 |
| 147 and 107 | 15729 |
| 132 and 131 | 17292 |
| 48 and 77 | 3696 |
| 166 and 27 | 4482 |