Least Common Multiple (LCM) of 159 and 75
The least common multiple (LCM) of 159 and 75 is 3975.
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 75?
First, calculate the GCD of 159 and 75 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 75 = 2 remainder 9 |
| 2 | 75 ÷ 9 = 8 remainder 3 |
| 3 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 79 | 15405 |
| 114 and 127 | 14478 |
| 142 and 111 | 15762 |
| 99 and 143 | 1287 |
| 184 and 171 | 31464 |