Least Common Multiple (LCM) of 159 and 95
The least common multiple (LCM) of 159 and 95 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 159 and 95?
First, calculate the GCD of 159 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 95 = 1 remainder 64 |
| 2 | 95 ÷ 64 = 1 remainder 31 |
| 3 | 64 ÷ 31 = 2 remainder 2 |
| 4 | 31 ÷ 2 = 15 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 22 | 858 |
| 157 and 107 | 16799 |
| 165 and 79 | 13035 |
| 90 and 79 | 7110 |
| 141 and 129 | 6063 |