Least Common Multiple (LCM) of 159 and 79
The least common multiple (LCM) of 159 and 79 is 12561.
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 79?
First, calculate the GCD of 159 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 79 = 2 remainder 1 |
| 2 | 79 ÷ 1 = 79 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 125 | 2875 |
| 179 and 152 | 27208 |
| 25 and 187 | 4675 |
| 172 and 54 | 4644 |
| 94 and 119 | 11186 |