Least Common Multiple (LCM) of 95 and 159
The least common multiple (LCM) of 95 and 159 is 15105.
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 159?
First, calculate the GCD of 95 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 159 = 0 remainder 95 |
| 2 | 159 ÷ 95 = 1 remainder 64 |
| 3 | 95 ÷ 64 = 1 remainder 31 |
| 4 | 64 ÷ 31 = 2 remainder 2 |
| 5 | 31 ÷ 2 = 15 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 168 | 4200 |
| 95 and 138 | 13110 |
| 113 and 161 | 18193 |
| 122 and 129 | 15738 |
| 158 and 22 | 1738 |