Least Common Multiple (LCM) of 95 and 168
The least common multiple (LCM) of 95 and 168 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 95 and 168?
First, calculate the GCD of 95 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 168 = 0 remainder 95 |
| 2 | 168 ÷ 95 = 1 remainder 73 |
| 3 | 95 ÷ 73 = 1 remainder 22 |
| 4 | 73 ÷ 22 = 3 remainder 7 |
| 5 | 22 ÷ 7 = 3 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 119 | 12852 |
| 108 and 40 | 1080 |
| 12 and 71 | 852 |
| 151 and 89 | 13439 |
| 199 and 40 | 7960 |