Least Common Multiple (LCM) of 168 and 95
The least common multiple (LCM) of 168 and 95 is 15960.
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 168 and 95?
First, calculate the GCD of 168 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 95 = 1 remainder 73 |
| 2 | 95 ÷ 73 = 1 remainder 22 |
| 3 | 73 ÷ 22 = 3 remainder 7 |
| 4 | 22 ÷ 7 = 3 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 160 | 640 |
| 55 and 160 | 1760 |
| 118 and 165 | 19470 |
| 132 and 109 | 14388 |
| 78 and 36 | 468 |